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Finding the Fourth Proportional to 9,965.25, 13,752.67 and 5,489.00

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Solution

The fourth proportional to 9,965.25, 13,752.67 and 5,489.00 is: 7,575.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,965.25 : 13,752.67 = 5,489.00 : x
  2. Step 2: Convert to fraction form
    9,965.25/13,752.67 = 5,489.00/x
  3. Step 3: Cross multiply
    9,965.25x = 13,752.67 × 5,489.00
  4. Step 4: Simplify right side
    9,965.25x = 75,488,426.29
  5. Step 5: Solve for x
    x = 75,488,426.29/9,965.25
  6. Step 6: Final answer
    x = 7,575.17

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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.