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Finding the Fourth Proportional to 6,844.72, 9,442.56 and 4,191.16

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Solution

The fourth proportional to 6,844.72, 9,442.56 and 4,191.16 is: 5,781.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,844.72 : 9,442.56 = 4,191.16 : x
  2. Step 2: Convert to fraction form
    6,844.72/9,442.56 = 4,191.16/x
  3. Step 3: Cross multiply
    6,844.72x = 9,442.56 × 4,191.16
  4. Step 4: Simplify right side
    6,844.72x = 39,575,279.77
  5. Step 5: Solve for x
    x = 39,575,279.77/6,844.72
  6. Step 6: Final answer
    x = 5,781.87

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.