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Finding the Fourth Proportional to 6,204.60, 9,291.04 and 3,428.20

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Solution

The fourth proportional to 6,204.60, 9,291.04 and 3,428.20 is: 5,133.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,204.60 : 9,291.04 = 3,428.20 : x
  2. Step 2: Convert to fraction form
    6,204.60/9,291.04 = 3,428.20/x
  3. Step 3: Cross multiply
    6,204.60x = 9,291.04 × 3,428.20
  4. Step 4: Simplify right side
    6,204.60x = 31,851,543.33
  5. Step 5: Solve for x
    x = 31,851,543.33/6,204.60
  6. Step 6: Final answer
    x = 5,133.54

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.