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Finding the Fourth Proportional to 9,641.43, 13,306.68 and 5,865.78

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Solution

The fourth proportional to 9,641.43, 13,306.68 and 5,865.78 is: 8,095.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,641.43 : 13,306.68 = 5,865.78 : x
  2. Step 2: Convert to fraction form
    9,641.43/13,306.68 = 5,865.78/x
  3. Step 3: Cross multiply
    9,641.43x = 13,306.68 × 5,865.78
  4. Step 4: Simplify right side
    9,641.43x = 78,054,057.41
  5. Step 5: Solve for x
    x = 78,054,057.41/9,641.43
  6. Step 6: Final answer
    x = 8,095.69

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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.