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Finding the Fourth Proportional to 9,099.31, 13,649.03 and 3,176.18

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Solution

The fourth proportional to 9,099.31, 13,649.03 and 3,176.18 is: 4,764.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,099.31 : 13,649.03 = 3,176.18 : x
  2. Step 2: Convert to fraction form
    9,099.31/13,649.03 = 3,176.18/x
  3. Step 3: Cross multiply
    9,099.31x = 13,649.03 × 3,176.18
  4. Step 4: Simplify right side
    9,099.31x = 43,351,707.86
  5. Step 5: Solve for x
    x = 43,351,707.86/9,099.31
  6. Step 6: Final answer
    x = 4,764.29

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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.