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Finding the Fourth Proportional to 6,343.57, 9,508.06 and 4,261.06

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Solution

The fourth proportional to 6,343.57, 9,508.06 and 4,261.06 is: 6,386.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,343.57 : 9,508.06 = 4,261.06 : x
  2. Step 2: Convert to fraction form
    6,343.57/9,508.06 = 4,261.06/x
  3. Step 3: Cross multiply
    6,343.57x = 9,508.06 × 4,261.06
  4. Step 4: Simplify right side
    6,343.57x = 40,514,414.14
  5. Step 5: Solve for x
    x = 40,514,414.14/6,343.57
  6. Step 6: Final answer
    x = 6,386.69

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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.