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Finding the Fourth Proportional to 9,965.43, 13,751.64 and 5,488.83

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Solution

The fourth proportional to 9,965.43, 13,751.64 and 5,488.83 is: 7,574.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,965.43 : 13,751.64 = 5,488.83 : x
  2. Step 2: Convert to fraction form
    9,965.43/13,751.64 = 5,488.83/x
  3. Step 3: Cross multiply
    9,965.43x = 13,751.64 × 5,488.83
  4. Step 4: Simplify right side
    9,965.43x = 75,480,414.18
  5. Step 5: Solve for x
    x = 75,480,414.18/9,965.43
  6. Step 6: Final answer
    x = 7,574.23

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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.