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Finding the Fourth Proportional to 8,528.68, 12,769.12 and 6,442.12

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Solution

The fourth proportional to 8,528.68, 12,769.12 and 6,442.12 is: 9,645.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,528.68 : 12,769.12 = 6,442.12 : x
  2. Step 2: Convert to fraction form
    8,528.68/12,769.12 = 6,442.12/x
  3. Step 3: Cross multiply
    8,528.68x = 12,769.12 × 6,442.12
  4. Step 4: Simplify right side
    8,528.68x = 82,260,203.33
  5. Step 5: Solve for x
    x = 82,260,203.33/8,528.68
  6. Step 6: Final answer
    x = 9,645.13

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.