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Finding the Fourth Proportional to 8,947.68, 12,353.28 and 6,585.60

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Solution

The fourth proportional to 8,947.68, 12,353.28 and 6,585.60 is: 9,092.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,947.68 : 12,353.28 = 6,585.60 : x
  2. Step 2: Convert to fraction form
    8,947.68/12,353.28 = 6,585.60/x
  3. Step 3: Cross multiply
    8,947.68x = 12,353.28 × 6,585.60
  4. Step 4: Simplify right side
    8,947.68x = 81,353,760.77
  5. Step 5: Solve for x
    x = 81,353,760.77/8,947.68
  6. Step 6: Final answer
    x = 9,092.16

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.