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Finding the Fourth Proportional to 6,275.09, 9,414.21 and 4,429.81

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Solution

The fourth proportional to 6,275.09, 9,414.21 and 4,429.81 is: 6,645.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,275.09 : 9,414.21 = 4,429.81 : x
  2. Step 2: Convert to fraction form
    6,275.09/9,414.21 = 4,429.81/x
  3. Step 3: Cross multiply
    6,275.09x = 9,414.21 × 4,429.81
  4. Step 4: Simplify right side
    6,275.09x = 41,703,161.60
  5. Step 5: Solve for x
    x = 41,703,161.60/6,275.09
  6. Step 6: Final answer
    x = 6,645.83

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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.