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Finding the Fourth Proportional to 9,446.87, 14,161.08 and 3,519.42

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Solution

The fourth proportional to 9,446.87, 14,161.08 and 3,519.42 is: 5,275.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,446.87 : 14,161.08 = 3,519.42 : x
  2. Step 2: Convert to fraction form
    9,446.87/14,161.08 = 3,519.42/x
  3. Step 3: Cross multiply
    9,446.87x = 14,161.08 × 3,519.42
  4. Step 4: Simplify right side
    9,446.87x = 49,838,788.17
  5. Step 5: Solve for x
    x = 49,838,788.17/9,446.87
  6. Step 6: Final answer
    x = 5,275.69

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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.