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Finding the Fourth Proportional to 6,343.10, 9,506.55 and 4,609.70

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Solution

The fourth proportional to 6,343.10, 9,506.55 and 4,609.70 is: 6,908.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,343.10 : 9,506.55 = 4,609.70 : x
  2. Step 2: Convert to fraction form
    6,343.10/9,506.55 = 4,609.70/x
  3. Step 3: Cross multiply
    6,343.10x = 9,506.55 × 4,609.70
  4. Step 4: Simplify right side
    6,343.10x = 43,822,343.54
  5. Step 5: Solve for x
    x = 43,822,343.54/6,343.10
  6. Step 6: Final answer
    x = 6,908.66

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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.