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Finding the Fourth Proportional to 9,251.60, 13,891.80 and 5,363.60

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Solution

The fourth proportional to 9,251.60, 13,891.80 and 5,363.60 is: 8,053.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,251.60 : 13,891.80 = 5,363.60 : x
  2. Step 2: Convert to fraction form
    9,251.60/13,891.80 = 5,363.60/x
  3. Step 3: Cross multiply
    9,251.60x = 13,891.80 × 5,363.60
  4. Step 4: Simplify right side
    9,251.60x = 74,510,058.48
  5. Step 5: Solve for x
    x = 74,510,058.48/9,251.60
  6. Step 6: Final answer
    x = 8,053.75

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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.