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Finding the Fourth Proportional to 9,964.90, 13,752.12 and 5,989.42

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Solution

The fourth proportional to 9,964.90, 13,752.12 and 5,989.42 is: 8,265.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,964.90 : 13,752.12 = 5,989.42 : x
  2. Step 2: Convert to fraction form
    9,964.90/13,752.12 = 5,989.42/x
  3. Step 3: Cross multiply
    9,964.90x = 13,752.12 × 5,989.42
  4. Step 4: Simplify right side
    9,964.90x = 82,367,222.57
  5. Step 5: Solve for x
    x = 82,367,222.57/9,964.90
  6. Step 6: Final answer
    x = 8,265.73

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.