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Finding the Fourth Proportional to 9,223.64, 12,730.25 and 5,446.55

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Solution

The fourth proportional to 9,223.64, 12,730.25 and 5,446.55 is: 7,517.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,223.64 : 12,730.25 = 5,446.55 : x
  2. Step 2: Convert to fraction form
    9,223.64/12,730.25 = 5,446.55/x
  3. Step 3: Cross multiply
    9,223.64x = 12,730.25 × 5,446.55
  4. Step 4: Simplify right side
    9,223.64x = 69,335,988.58
  5. Step 5: Solve for x
    x = 69,335,988.58/9,223.64
  6. Step 6: Final answer
    x = 7,517.21

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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.