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Finding the Fourth Proportional to 9,891.28, 14,839.32 and 2,965.72

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Solution

The fourth proportional to 9,891.28, 14,839.32 and 2,965.72 is: 4,449.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,891.28 : 14,839.32 = 2,965.72 : x
  2. Step 2: Convert to fraction form
    9,891.28/14,839.32 = 2,965.72/x
  3. Step 3: Cross multiply
    9,891.28x = 14,839.32 × 2,965.72
  4. Step 4: Simplify right side
    9,891.28x = 44,009,268.11
  5. Step 5: Solve for x
    x = 44,009,268.11/9,891.28
  6. Step 6: Final answer
    x = 4,449.30

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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.