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Finding the Fourth Proportional to 9,285.75, 12,814.34 and 5,093.91

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Solution

The fourth proportional to 9,285.75, 12,814.34 and 5,093.91 is: 7,029.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,285.75 : 12,814.34 = 5,093.91 : x
  2. Step 2: Convert to fraction form
    9,285.75/12,814.34 = 5,093.91/x
  3. Step 3: Cross multiply
    9,285.75x = 12,814.34 × 5,093.91
  4. Step 4: Simplify right side
    9,285.75x = 65,275,069.20
  5. Step 5: Solve for x
    x = 65,275,069.20/9,285.75
  6. Step 6: Final answer
    x = 7,029.60

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