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Finding the Fourth Proportional to 9,280.74, 12,813.26 and 6,447.20

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Solution

The fourth proportional to 9,280.74, 12,813.26 and 6,447.20 is: 8,901.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,280.74 : 12,813.26 = 6,447.20 : x
  2. Step 2: Convert to fraction form
    9,280.74/12,813.26 = 6,447.20/x
  3. Step 3: Cross multiply
    9,280.74x = 12,813.26 × 6,447.20
  4. Step 4: Simplify right side
    9,280.74x = 82,609,553.57
  5. Step 5: Solve for x
    x = 82,609,553.57/9,280.74
  6. Step 6: Final answer
    x = 8,901.18

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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.