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Finding the Fourth Proportional to 6,468.80, 9,688.80 and 6,324.80

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Solution

The fourth proportional to 6,468.80, 9,688.80 and 6,324.80 is: 9,473.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,468.80 : 9,688.80 = 6,324.80 : x
  2. Step 2: Convert to fraction form
    6,468.80/9,688.80 = 6,324.80/x
  3. Step 3: Cross multiply
    6,468.80x = 9,688.80 × 6,324.80
  4. Step 4: Simplify right side
    6,468.80x = 61,279,722.24
  5. Step 5: Solve for x
    x = 61,279,722.24/6,468.80
  6. Step 6: Final answer
    x = 9,473.12

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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.