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Finding the Fourth Proportional to 9,523.31, 13,141.01 and 5,543.78

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Solution

The fourth proportional to 9,523.31, 13,141.01 and 5,543.78 is: 7,649.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,523.31 : 13,141.01 = 5,543.78 : x
  2. Step 2: Convert to fraction form
    9,523.31/13,141.01 = 5,543.78/x
  3. Step 3: Cross multiply
    9,523.31x = 13,141.01 × 5,543.78
  4. Step 4: Simplify right side
    9,523.31x = 72,850,816.57
  5. Step 5: Solve for x
    x = 72,850,816.57/9,523.31
  6. Step 6: Final answer
    x = 7,649.74

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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.