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Finding the Fourth Proportional to 9,867.92, 14,808 and 4,024.52

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Solution

The fourth proportional to 9,867.92, 14,808 and 4,024.52 is: 6,039.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,867.92 : 14,808 = 4,024.52 : x
  2. Step 2: Convert to fraction form
    9,867.92/14,808 = 4,024.52/x
  3. Step 3: Cross multiply
    9,867.92x = 14,808 × 4,024.52
  4. Step 4: Simplify right side
    9,867.92x = 59,595,092.16
  5. Step 5: Solve for x
    x = 59,595,092.16/9,867.92
  6. Step 6: Final answer
    x = 6,039.28

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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.