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Finding the Fourth Proportional to 9,118.50, 12,593.91 and 6,129.14

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Solution

The fourth proportional to 9,118.50, 12,593.91 and 6,129.14 is: 8,465.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,118.50 : 12,593.91 = 6,129.14 : x
  2. Step 2: Convert to fraction form
    9,118.50/12,593.91 = 6,129.14/x
  3. Step 3: Cross multiply
    9,118.50x = 12,593.91 × 6,129.14
  4. Step 4: Simplify right side
    9,118.50x = 77,189,853.70
  5. Step 5: Solve for x
    x = 77,189,853.70/9,118.50
  6. Step 6: Final answer
    x = 8,465.19

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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.