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Finding the Fourth Proportional to 9,891.60, 14,839.65 and 2,965.92

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Solution

The fourth proportional to 9,891.60, 14,839.65 and 2,965.92 is: 4,449.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,891.60 : 14,839.65 = 2,965.92 : x
  2. Step 2: Convert to fraction form
    9,891.60/14,839.65 = 2,965.92/x
  3. Step 3: Cross multiply
    9,891.60x = 14,839.65 × 2,965.92
  4. Step 4: Simplify right side
    9,891.60x = 44,013,214.73
  5. Step 5: Solve for x
    x = 44,013,214.73/9,891.60
  6. Step 6: Final answer
    x = 4,449.55

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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.