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Finding the Fourth Proportional to 9,129.31, 12,598.35 and 5,151.71

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Solution

The fourth proportional to 9,129.31, 12,598.35 and 5,151.71 is: 7,109.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,129.31 : 12,598.35 = 5,151.71 : x
  2. Step 2: Convert to fraction form
    9,129.31/12,598.35 = 5,151.71/x
  3. Step 3: Cross multiply
    9,129.31x = 12,598.35 × 5,151.71
  4. Step 4: Simplify right side
    9,129.31x = 64,903,045.68
  5. Step 5: Solve for x
    x = 64,903,045.68/9,129.31
  6. Step 6: Final answer
    x = 7,109.30

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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.