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Finding the Fourth Proportional to 9,129.71, 12,599.15 and 5,150.89

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Solution

The fourth proportional to 9,129.71, 12,599.15 and 5,150.89 is: 7,108.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,129.71 : 12,599.15 = 5,150.89 : x
  2. Step 2: Convert to fraction form
    9,129.71/12,599.15 = 5,150.89/x
  3. Step 3: Cross multiply
    9,129.71x = 12,599.15 × 5,150.89
  4. Step 4: Simplify right side
    9,129.71x = 64,896,825.74
  5. Step 5: Solve for x
    x = 64,896,825.74/9,129.71
  6. Step 6: Final answer
    x = 7,108.31

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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.