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Finding the Fourth Proportional to 9,964.38, 13,750.70 and 5,488.14

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Solution

The fourth proportional to 9,964.38, 13,750.70 and 5,488.14 is: 7,573.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,964.38 : 13,750.70 = 5,488.14 : x
  2. Step 2: Convert to fraction form
    9,964.38/13,750.70 = 5,488.14/x
  3. Step 3: Cross multiply
    9,964.38x = 13,750.70 × 5,488.14
  4. Step 4: Simplify right side
    9,964.38x = 75,465,780.42
  5. Step 5: Solve for x
    x = 75,465,780.42/9,964.38
  6. Step 6: Final answer
    x = 7,573.56

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Why These Related Problems?

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