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Finding the Fourth Proportional to 9,245.60, 13,841.52 and 5,772.32

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Solution

The fourth proportional to 9,245.60, 13,841.52 and 5,772.32 is: 8,641.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,245.60 : 13,841.52 = 5,772.32 : x
  2. Step 2: Convert to fraction form
    9,245.60/13,841.52 = 5,772.32/x
  3. Step 3: Cross multiply
    9,245.60x = 13,841.52 × 5,772.32
  4. Step 4: Simplify right side
    9,245.60x = 79,897,682.73
  5. Step 5: Solve for x
    x = 79,897,682.73/9,245.60
  6. Step 6: Final answer
    x = 8,641.70

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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.