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Finding the Fourth Proportional to 9,209.60, 12,708.12 and 6,231.92

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Solution

The fourth proportional to 9,209.60, 12,708.12 and 6,231.92 is: 8,599.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,209.60 : 12,708.12 = 6,231.92 : x
  2. Step 2: Convert to fraction form
    9,209.60/12,708.12 = 6,231.92/x
  3. Step 3: Cross multiply
    9,209.60x = 12,708.12 × 6,231.92
  4. Step 4: Simplify right side
    9,209.60x = 79,195,987.19
  5. Step 5: Solve for x
    x = 79,195,987.19/9,209.60
  6. Step 6: Final answer
    x = 8,599.29

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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.