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Finding the Fourth Proportional to 9,549.38, 13,174.98 and 5,773.70

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Solution

The fourth proportional to 9,549.38, 13,174.98 and 5,773.70 is: 7,965.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,549.38 : 13,174.98 = 5,773.70 : x
  2. Step 2: Convert to fraction form
    9,549.38/13,174.98 = 5,773.70/x
  3. Step 3: Cross multiply
    9,549.38x = 13,174.98 × 5,773.70
  4. Step 4: Simplify right side
    9,549.38x = 76,068,382.03
  5. Step 5: Solve for x
    x = 76,068,382.03/9,549.38
  6. Step 6: Final answer
    x = 7,965.79

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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.