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Finding the Fourth Proportional to 9,152.52, 13,730.40 and 3,229.80

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Solution

The fourth proportional to 9,152.52, 13,730.40 and 3,229.80 is: 4,845.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,152.52 : 13,730.40 = 3,229.80 : x
  2. Step 2: Convert to fraction form
    9,152.52/13,730.40 = 3,229.80/x
  3. Step 3: Cross multiply
    9,152.52x = 13,730.40 × 3,229.80
  4. Step 4: Simplify right side
    9,152.52x = 44,346,445.92
  5. Step 5: Solve for x
    x = 44,346,445.92/9,152.52
  6. Step 6: Final answer
    x = 4,845.27

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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.