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Finding the Fourth Proportional to 6,841.13, 9,440.75 and 3,697.31

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Solution

The fourth proportional to 6,841.13, 9,440.75 and 3,697.31 is: 5,102.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,841.13 : 9,440.75 = 3,697.31 : x
  2. Step 2: Convert to fraction form
    6,841.13/9,440.75 = 3,697.31/x
  3. Step 3: Cross multiply
    6,841.13x = 9,440.75 × 3,697.31
  4. Step 4: Simplify right side
    6,841.13x = 34,905,412.23
  5. Step 5: Solve for x
    x = 34,905,412.23/6,841.13
  6. Step 6: Final answer
    x = 5,102.29

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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.