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Finding the Fourth Proportional to 9,483.28, 14,224.92 and 6,197.92

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Solution

The fourth proportional to 9,483.28, 14,224.92 and 6,197.92 is: 9,296.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,483.28 : 14,224.92 = 6,197.92 : x
  2. Step 2: Convert to fraction form
    9,483.28/14,224.92 = 6,197.92/x
  3. Step 3: Cross multiply
    9,483.28x = 14,224.92 × 6,197.92
  4. Step 4: Simplify right side
    9,483.28x = 88,164,916.17
  5. Step 5: Solve for x
    x = 88,164,916.17/9,483.28
  6. Step 6: Final answer
    x = 9,296.88

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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.