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Finding the Fourth Proportional to 6,099.34, 9,148.86 and 2,812.42

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Solution

The fourth proportional to 6,099.34, 9,148.86 and 2,812.42 is: 4,218.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,099.34 : 9,148.86 = 2,812.42 : x
  2. Step 2: Convert to fraction form
    6,099.34/9,148.86 = 2,812.42/x
  3. Step 3: Cross multiply
    6,099.34x = 9,148.86 × 2,812.42
  4. Step 4: Simplify right side
    6,099.34x = 25,730,436.84
  5. Step 5: Solve for x
    x = 25,730,436.84/6,099.34
  6. Step 6: Final answer
    x = 4,218.56

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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.