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Finding the Fourth Proportional to 9,494.29, 13,105.61 and 5,717.61

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Solution

The fourth proportional to 9,494.29, 13,105.61 and 5,717.61 is: 7,892.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,494.29 : 13,105.61 = 5,717.61 : x
  2. Step 2: Convert to fraction form
    9,494.29/13,105.61 = 5,717.61/x
  3. Step 3: Cross multiply
    9,494.29x = 13,105.61 × 5,717.61
  4. Step 4: Simplify right side
    9,494.29x = 74,932,766.79
  5. Step 5: Solve for x
    x = 74,932,766.79/9,494.29
  6. Step 6: Final answer
    x = 7,892.40

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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.