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Finding the Fourth Proportional to 6,343.20, 9,506.70 and 3,049.20

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Solution

The fourth proportional to 6,343.20, 9,506.70 and 3,049.20 is: 4,569.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,343.20 : 9,506.70 = 3,049.20 : x
  2. Step 2: Convert to fraction form
    6,343.20/9,506.70 = 3,049.20/x
  3. Step 3: Cross multiply
    6,343.20x = 9,506.70 × 3,049.20
  4. Step 4: Simplify right side
    6,343.20x = 28,987,829.64
  5. Step 5: Solve for x
    x = 28,987,829.64/6,343.20
  6. Step 6: Final answer
    x = 4,569.91

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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.