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Finding the Fourth Proportional to 9,099.72, 13,649.49 and 2,525.87

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Solution

The fourth proportional to 9,099.72, 13,649.49 and 2,525.87 is: 3,788.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,099.72 : 13,649.49 = 2,525.87 : x
  2. Step 2: Convert to fraction form
    9,099.72/13,649.49 = 2,525.87/x
  3. Step 3: Cross multiply
    9,099.72x = 13,649.49 × 2,525.87
  4. Step 4: Simplify right side
    9,099.72x = 34,476,871.43
  5. Step 5: Solve for x
    x = 34,476,871.43/9,099.72
  6. Step 6: Final answer
    x = 3,788.78

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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.