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Finding the Fourth Proportional to 6,229.85, 9,344.71 and 2,070.16

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Solution

The fourth proportional to 6,229.85, 9,344.71 and 2,070.16 is: 3,105.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,229.85 : 9,344.71 = 2,070.16 : x
  2. Step 2: Convert to fraction form
    6,229.85/9,344.71 = 2,070.16/x
  3. Step 3: Cross multiply
    6,229.85x = 9,344.71 × 2,070.16
  4. Step 4: Simplify right side
    6,229.85x = 19,345,041.60
  5. Step 5: Solve for x
    x = 19,345,041.60/6,229.85
  6. Step 6: Final answer
    x = 3,105.22

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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.