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Finding the Fourth Proportional to 6,099.33, 8,417.12 and 3,446.99

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Solution

The fourth proportional to 6,099.33, 8,417.12 and 3,446.99 is: 4,756.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,099.33 : 8,417.12 = 3,446.99 : x
  2. Step 2: Convert to fraction form
    6,099.33/8,417.12 = 3,446.99/x
  3. Step 3: Cross multiply
    6,099.33x = 8,417.12 × 3,446.99
  4. Step 4: Simplify right side
    6,099.33x = 29,013,728.47
  5. Step 5: Solve for x
    x = 29,013,728.47/6,099.33
  6. Step 6: Final answer
    x = 4,756.87

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.