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Finding the Fourth Proportional to 6,677.12, 9,214.49 and 3,693.16

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Solution

The fourth proportional to 6,677.12, 9,214.49 and 3,693.16 is: 5,096.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,677.12 : 9,214.49 = 3,693.16 : x
  2. Step 2: Convert to fraction form
    6,677.12/9,214.49 = 3,693.16/x
  3. Step 3: Cross multiply
    6,677.12x = 9,214.49 × 3,693.16
  4. Step 4: Simplify right side
    6,677.12x = 34,030,572.09
  5. Step 5: Solve for x
    x = 34,030,572.09/6,677.12
  6. Step 6: Final answer
    x = 5,096.59

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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.