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Finding the Fourth Proportional to 9,100.31, 13,649.86 and 2,526.56

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Solution

The fourth proportional to 9,100.31, 13,649.86 and 2,526.56 is: 3,789.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,100.31 : 13,649.86 = 2,526.56 : x
  2. Step 2: Convert to fraction form
    9,100.31/13,649.86 = 2,526.56/x
  3. Step 3: Cross multiply
    9,100.31x = 13,649.86 × 2,526.56
  4. Step 4: Simplify right side
    9,100.31x = 34,487,115.72
  5. Step 5: Solve for x
    x = 34,487,115.72/9,100.31
  6. Step 6: Final answer
    x = 3,789.66

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.