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Finding the Fourth Proportional to 6,677.41, 9,214.97 and 3,693.46

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Solution

The fourth proportional to 6,677.41, 9,214.97 and 3,693.46 is: 5,097.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,677.41 : 9,214.97 = 3,693.46 : x
  2. Step 2: Convert to fraction form
    6,677.41/9,214.97 = 3,693.46/x
  3. Step 3: Cross multiply
    6,677.41x = 9,214.97 × 3,693.46
  4. Step 4: Simplify right side
    6,677.41x = 34,035,123.10
  5. Step 5: Solve for x
    x = 34,035,123.10/6,677.41
  6. Step 6: Final answer
    x = 5,097.05

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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.