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Finding the Fourth Proportional to 6,347.06, 9,520.62 and 3,443.78

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Solution

The fourth proportional to 6,347.06, 9,520.62 and 3,443.78 is: 5,165.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,347.06 : 9,520.62 = 3,443.78 : x
  2. Step 2: Convert to fraction form
    6,347.06/9,520.62 = 3,443.78/x
  3. Step 3: Cross multiply
    6,347.06x = 9,520.62 × 3,443.78
  4. Step 4: Simplify right side
    6,347.06x = 32,786,920.74
  5. Step 5: Solve for x
    x = 32,786,920.74/6,347.06
  6. Step 6: Final answer
    x = 5,165.69

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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.