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Finding the Fourth Proportional to 6,099.84, 9,155.42 and 2,404.62

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Solution

The fourth proportional to 6,099.84, 9,155.42 and 2,404.62 is: 3,609.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,099.84 : 9,155.42 = 2,404.62 : x
  2. Step 2: Convert to fraction form
    6,099.84/9,155.42 = 2,404.62/x
  3. Step 3: Cross multiply
    6,099.84x = 9,155.42 × 2,404.62
  4. Step 4: Simplify right side
    6,099.84x = 22,015,294.02
  5. Step 5: Solve for x
    x = 22,015,294.02/6,099.84
  6. Step 6: Final answer
    x = 3,609.16

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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.