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Finding the Fourth Proportional to 9,129.86, 12,593.90 and 6,292.83

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Solution

The fourth proportional to 9,129.86, 12,593.90 and 6,292.83 is: 8,680.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,129.86 : 12,593.90 = 6,292.83 : x
  2. Step 2: Convert to fraction form
    9,129.86/12,593.90 = 6,292.83/x
  3. Step 3: Cross multiply
    9,129.86x = 12,593.90 × 6,292.83
  4. Step 4: Simplify right side
    9,129.86x = 79,251,287.47
  5. Step 5: Solve for x
    x = 79,251,287.47/9,129.86
  6. Step 6: Final answer
    x = 8,680.45

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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.