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Finding the Fourth Proportional to 9,965.13, 13,652.30 and 9,591.45

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Solution

The fourth proportional to 9,965.13, 13,652.30 and 9,591.45 is: 13,140.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,965.13 : 13,652.30 = 9,591.45 : x
  2. Step 2: Convert to fraction form
    9,965.13/13,652.30 = 9,591.45/x
  3. Step 3: Cross multiply
    9,965.13x = 13,652.30 × 9,591.45
  4. Step 4: Simplify right side
    9,965.13x = 130,945,304.88
  5. Step 5: Solve for x
    x = 130,945,304.88/9,965.13
  6. Step 6: Final answer
    x = 13,140.35

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.