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Finding the Fourth Proportional to 9,125.88, 12,593.90 and 5,146.22

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Solution

The fourth proportional to 9,125.88, 12,593.90 and 5,146.22 is: 7,101.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,125.88 : 12,593.90 = 5,146.22 : x
  2. Step 2: Convert to fraction form
    9,125.88/12,593.90 = 5,146.22/x
  3. Step 3: Cross multiply
    9,125.88x = 12,593.90 × 5,146.22
  4. Step 4: Simplify right side
    9,125.88x = 64,810,977.18
  5. Step 5: Solve for x
    x = 64,810,977.18/9,125.88
  6. Step 6: Final answer
    x = 7,101.89

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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.