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Finding the Fourth Proportional to 9,209.43, 12,708.63 and 5,230.53

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Solution

The fourth proportional to 9,209.43, 12,708.63 and 5,230.53 is: 7,217.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,209.43 : 12,708.63 = 5,230.53 : x
  2. Step 2: Convert to fraction form
    9,209.43/12,708.63 = 5,230.53/x
  3. Step 3: Cross multiply
    9,209.43x = 12,708.63 × 5,230.53
  4. Step 4: Simplify right side
    9,209.43x = 66,472,870.47
  5. Step 5: Solve for x
    x = 66,472,870.47/9,209.43
  6. Step 6: Final answer
    x = 7,217.91

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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.