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Finding the Fourth Proportional to 8,969.52, 13,439.16 and 5,686.32

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Solution

The fourth proportional to 8,969.52, 13,439.16 and 5,686.32 is: 8,519.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,969.52 : 13,439.16 = 5,686.32 : x
  2. Step 2: Convert to fraction form
    8,969.52/13,439.16 = 5,686.32/x
  3. Step 3: Cross multiply
    8,969.52x = 13,439.16 × 5,686.32
  4. Step 4: Simplify right side
    8,969.52x = 76,419,364.29
  5. Step 5: Solve for x
    x = 76,419,364.29/8,969.52
  6. Step 6: Final answer
    x = 8,519.89

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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.