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Finding the Fourth Proportional to 9,772.27, 13,480.76 and 6,414.62

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Solution

The fourth proportional to 9,772.27, 13,480.76 and 6,414.62 is: 8,848.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,772.27 : 13,480.76 = 6,414.62 : x
  2. Step 2: Convert to fraction form
    9,772.27/13,480.76 = 6,414.62/x
  3. Step 3: Cross multiply
    9,772.27x = 13,480.76 × 6,414.62
  4. Step 4: Simplify right side
    9,772.27x = 86,473,901.34
  5. Step 5: Solve for x
    x = 86,473,901.34/9,772.27
  6. Step 6: Final answer
    x = 8,848.91

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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.