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Finding the Fourth Proportional to 6,242.82, 9,359.91 and 2,778.18

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Solution

The fourth proportional to 6,242.82, 9,359.91 and 2,778.18 is: 4,165.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,242.82 : 9,359.91 = 2,778.18 : x
  2. Step 2: Convert to fraction form
    6,242.82/9,359.91 = 2,778.18/x
  3. Step 3: Cross multiply
    6,242.82x = 9,359.91 × 2,778.18
  4. Step 4: Simplify right side
    6,242.82x = 26,003,514.76
  5. Step 5: Solve for x
    x = 26,003,514.76/6,242.82
  6. Step 6: Final answer
    x = 4,165.35

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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.