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Finding the Fourth Proportional to 6,451.52, 9,681.24 and 5,127.44

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Solution

The fourth proportional to 6,451.52, 9,681.24 and 5,127.44 is: 7,694.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,451.52 : 9,681.24 = 5,127.44 : x
  2. Step 2: Convert to fraction form
    6,451.52/9,681.24 = 5,127.44/x
  3. Step 3: Cross multiply
    6,451.52x = 9,681.24 × 5,127.44
  4. Step 4: Simplify right side
    6,451.52x = 49,639,977.23
  5. Step 5: Solve for x
    x = 49,639,977.23/6,451.52
  6. Step 6: Final answer
    x = 7,694.31

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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.