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Finding the Fourth Proportional to 6,430.74, 9,639.96 and 2,479.11

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Solution

The fourth proportional to 6,430.74, 9,639.96 and 2,479.11 is: 3,716.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,430.74 : 9,639.96 = 2,479.11 : x
  2. Step 2: Convert to fraction form
    6,430.74/9,639.96 = 2,479.11/x
  3. Step 3: Cross multiply
    6,430.74x = 9,639.96 × 2,479.11
  4. Step 4: Simplify right side
    6,430.74x = 23,898,489.73
  5. Step 5: Solve for x
    x = 23,898,489.73/6,430.74
  6. Step 6: Final answer
    x = 3,716.29

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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.