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Finding the Fourth Proportional to 6,099.12, 8,416.95 and 3,446.47

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Solution

The fourth proportional to 6,099.12, 8,416.95 and 3,446.47 is: 4,756.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,099.12 : 8,416.95 = 3,446.47 : x
  2. Step 2: Convert to fraction form
    6,099.12/8,416.95 = 3,446.47/x
  3. Step 3: Cross multiply
    6,099.12x = 8,416.95 × 3,446.47
  4. Step 4: Simplify right side
    6,099.12x = 29,008,765.67
  5. Step 5: Solve for x
    x = 29,008,765.67/6,099.12
  6. Step 6: Final answer
    x = 4,756.22

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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.