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Finding the Fourth Proportional to 6,637.92, 9,957.36 and 2,024.16

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Solution

The fourth proportional to 6,637.92, 9,957.36 and 2,024.16 is: 3,036.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,637.92 : 9,957.36 = 2,024.16 : x
  2. Step 2: Convert to fraction form
    6,637.92/9,957.36 = 2,024.16/x
  3. Step 3: Cross multiply
    6,637.92x = 9,957.36 × 2,024.16
  4. Step 4: Simplify right side
    6,637.92x = 20,155,289.82
  5. Step 5: Solve for x
    x = 20,155,289.82/6,637.92
  6. Step 6: Final answer
    x = 3,036.39

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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.