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Finding the Fourth Proportional to 9,285.88, 12,814.50 and 5,094.12

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Solution

The fourth proportional to 9,285.88, 12,814.50 and 5,094.12 is: 7,029.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,285.88 : 12,814.50 = 5,094.12 : x
  2. Step 2: Convert to fraction form
    9,285.88/12,814.50 = 5,094.12/x
  3. Step 3: Cross multiply
    9,285.88x = 12,814.50 × 5,094.12
  4. Step 4: Simplify right side
    9,285.88x = 65,278,600.74
  5. Step 5: Solve for x
    x = 65,278,600.74/9,285.88
  6. Step 6: Final answer
    x = 7,029.88

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Double scale
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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.