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Finding the Fourth Proportional to 7,218.80, 9,923.69 and 6,206.78

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Solution

The fourth proportional to 7,218.80, 9,923.69 and 6,206.78 is: 8,532.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,218.80 : 9,923.69 = 6,206.78 : x
  2. Step 2: Convert to fraction form
    7,218.80/9,923.69 = 6,206.78/x
  3. Step 3: Cross multiply
    7,218.80x = 9,923.69 × 6,206.78
  4. Step 4: Simplify right side
    7,218.80x = 61,594,160.62
  5. Step 5: Solve for x
    x = 61,594,160.62/7,218.80
  6. Step 6: Final answer
    x = 8,532.47

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.