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Finding the Fourth Proportional to 9,321.71, 12,865.68 and 5,342.85

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Solution

The fourth proportional to 9,321.71, 12,865.68 and 5,342.85 is: 7,374.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,321.71 : 12,865.68 = 5,342.85 : x
  2. Step 2: Convert to fraction form
    9,321.71/12,865.68 = 5,342.85/x
  3. Step 3: Cross multiply
    9,321.71x = 12,865.68 × 5,342.85
  4. Step 4: Simplify right side
    9,321.71x = 68,739,398.39
  5. Step 5: Solve for x
    x = 68,739,398.39/9,321.71
  6. Step 6: Final answer
    x = 7,374.12

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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.