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Finding the Fourth Proportional to 6,209.40, 9,314.10 and 3,444.60

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Solution

The fourth proportional to 6,209.40, 9,314.10 and 3,444.60 is: 5,166.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,209.40 : 9,314.10 = 3,444.60 : x
  2. Step 2: Convert to fraction form
    6,209.40/9,314.10 = 3,444.60/x
  3. Step 3: Cross multiply
    6,209.40x = 9,314.10 × 3,444.60
  4. Step 4: Simplify right side
    6,209.40x = 32,083,348.86
  5. Step 5: Solve for x
    x = 32,083,348.86/6,209.40
  6. Step 6: Final answer
    x = 5,166.90

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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.