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Finding the Fourth Proportional to 6,801.13, 9,378.66 and 6,404.28

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Solution

The fourth proportional to 6,801.13, 9,378.66 and 6,404.28 is: 8,831.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,801.13 : 9,378.66 = 6,404.28 : x
  2. Step 2: Convert to fraction form
    6,801.13/9,378.66 = 6,404.28/x
  3. Step 3: Cross multiply
    6,801.13x = 9,378.66 × 6,404.28
  4. Step 4: Simplify right side
    6,801.13x = 60,063,517.77
  5. Step 5: Solve for x
    x = 60,063,517.77/6,801.13
  6. Step 6: Final answer
    x = 8,831.41

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