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Finding the Fourth Proportional to 9,964.71, 13,752.38 and 5,488.92

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Solution

The fourth proportional to 9,964.71, 13,752.38 and 5,488.92 is: 7,575.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,964.71 : 13,752.38 = 5,488.92 : x
  2. Step 2: Convert to fraction form
    9,964.71/13,752.38 = 5,488.92/x
  3. Step 3: Cross multiply
    9,964.71x = 13,752.38 × 5,488.92
  4. Step 4: Simplify right side
    9,964.71x = 75,485,727.35
  5. Step 5: Solve for x
    x = 75,485,727.35/9,964.71
  6. Step 6: Final answer
    x = 7,575.31

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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.