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Finding the Fourth Proportional to 9,957.84, 13,743.33 and 5,981.15

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Solution

The fourth proportional to 9,957.84, 13,743.33 and 5,981.15 is: 8,254.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,957.84 : 13,743.33 = 5,981.15 : x
  2. Step 2: Convert to fraction form
    9,957.84/13,743.33 = 5,981.15/x
  3. Step 3: Cross multiply
    9,957.84x = 13,743.33 × 5,981.15
  4. Step 4: Simplify right side
    9,957.84x = 82,200,819.61
  5. Step 5: Solve for x
    x = 82,200,819.61/9,957.84
  6. Step 6: Final answer
    x = 8,254.88

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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.