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Finding the Fourth Proportional to 9,101.14, 13,649.17 and 2,525.76

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Solution

The fourth proportional to 9,101.14, 13,649.17 and 2,525.76 is: 3,787.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,101.14 : 13,649.17 = 2,525.76 : x
  2. Step 2: Convert to fraction form
    9,101.14/13,649.17 = 2,525.76/x
  3. Step 3: Cross multiply
    9,101.14x = 13,649.17 × 2,525.76
  4. Step 4: Simplify right side
    9,101.14x = 34,474,527.62
  5. Step 5: Solve for x
    x = 34,474,527.62/9,101.14
  6. Step 6: Final answer
    x = 3,787.94

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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.