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Finding the Fourth Proportional to 9,099.74, 13,649.60 and 2,860.24

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Solution

The fourth proportional to 9,099.74, 13,649.60 and 2,860.24 is: 4,290.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,099.74 : 13,649.60 = 2,860.24 : x
  2. Step 2: Convert to fraction form
    9,099.74/13,649.60 = 2,860.24/x
  3. Step 3: Cross multiply
    9,099.74x = 13,649.60 × 2,860.24
  4. Step 4: Simplify right side
    9,099.74x = 39,041,131.90
  5. Step 5: Solve for x
    x = 39,041,131.90/9,099.74
  6. Step 6: Final answer
    x = 4,290.36

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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.