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Finding the Fourth Proportional to 6,456.47, 9,678.56 and 2,753.60

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Solution

The fourth proportional to 6,456.47, 9,678.56 and 2,753.60 is: 4,127.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,456.47 : 9,678.56 = 2,753.60 : x
  2. Step 2: Convert to fraction form
    6,456.47/9,678.56 = 2,753.60/x
  3. Step 3: Cross multiply
    6,456.47x = 9,678.56 × 2,753.60
  4. Step 4: Simplify right side
    6,456.47x = 26,650,893.24
  5. Step 5: Solve for x
    x = 26,650,893.24/6,456.47
  6. Step 6: Final answer
    x = 4,127.78

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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.