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Finding the Fourth Proportional to 9,209.29, 12,708.90 and 5,230.48

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Solution

The fourth proportional to 9,209.29, 12,708.90 and 5,230.48 is: 7,218.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,209.29 : 12,708.90 = 5,230.48 : x
  2. Step 2: Convert to fraction form
    9,209.29/12,708.90 = 5,230.48/x
  3. Step 3: Cross multiply
    9,209.29x = 12,708.90 × 5,230.48
  4. Step 4: Simplify right side
    9,209.29x = 66,473,583.73
  5. Step 5: Solve for x
    x = 66,473,583.73/9,209.29
  6. Step 6: Final answer
    x = 7,218.10

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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.