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Finding the Fourth Proportional to 9,220.82, 12,724.31 and 5,641.74

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Solution

The fourth proportional to 9,220.82, 12,724.31 and 5,641.74 is: 7,785.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,220.82 : 12,724.31 = 5,641.74 : x
  2. Step 2: Convert to fraction form
    9,220.82/12,724.31 = 5,641.74/x
  3. Step 3: Cross multiply
    9,220.82x = 12,724.31 × 5,641.74
  4. Step 4: Simplify right side
    9,220.82x = 71,787,248.70
  5. Step 5: Solve for x
    x = 71,787,248.70/9,220.82
  6. Step 6: Final answer
    x = 7,785.34

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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.