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Finding the Fourth Proportional to 6,735.22, 9,294.60 and 3,904.24

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Solution

The fourth proportional to 6,735.22, 9,294.60 and 3,904.24 is: 5,387.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,735.22 : 9,294.60 = 3,904.24 : x
  2. Step 2: Convert to fraction form
    6,735.22/9,294.60 = 3,904.24/x
  3. Step 3: Cross multiply
    6,735.22x = 9,294.60 × 3,904.24
  4. Step 4: Simplify right side
    6,735.22x = 36,288,341.43
  5. Step 5: Solve for x
    x = 36,288,341.43/6,735.22
  6. Step 6: Final answer
    x = 5,387.85

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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.