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Finding the Fourth Proportional to 9,484.92, 13,084.11 and 5,706.18

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Solution

The fourth proportional to 9,484.92, 13,084.11 and 5,706.18 is: 7,871.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,484.92 : 13,084.11 = 5,706.18 : x
  2. Step 2: Convert to fraction form
    9,484.92/13,084.11 = 5,706.18/x
  3. Step 3: Cross multiply
    9,484.92x = 13,084.11 × 5,706.18
  4. Step 4: Simplify right side
    9,484.92x = 74,660,286.80
  5. Step 5: Solve for x
    x = 74,660,286.80/9,484.92
  6. Step 6: Final answer
    x = 7,871.47

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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.