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Finding the Fourth Proportional to 7,063.68, 9,747.76 and 3,919.80

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Solution

The fourth proportional to 7,063.68, 9,747.76 and 3,919.80 is: 5,409.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,063.68 : 9,747.76 = 3,919.80 : x
  2. Step 2: Convert to fraction form
    7,063.68/9,747.76 = 3,919.80/x
  3. Step 3: Cross multiply
    7,063.68x = 9,747.76 × 3,919.80
  4. Step 4: Simplify right side
    7,063.68x = 38,209,269.65
  5. Step 5: Solve for x
    x = 38,209,269.65/7,063.68
  6. Step 6: Final answer
    x = 5,409.26

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.