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Finding the Fourth Proportional to 9,954.61, 13,737.52 and 5,706.05

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Solution

The fourth proportional to 9,954.61, 13,737.52 and 5,706.05 is: 7,874.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,954.61 : 13,737.52 = 5,706.05 : x
  2. Step 2: Convert to fraction form
    9,954.61/13,737.52 = 5,706.05/x
  3. Step 3: Cross multiply
    9,954.61x = 13,737.52 × 5,706.05
  4. Step 4: Simplify right side
    9,954.61x = 78,386,882.34
  5. Step 5: Solve for x
    x = 78,386,882.34/9,954.61
  6. Step 6: Final answer
    x = 7,874.43

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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.