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Finding the Fourth Proportional to 6,780.90, 9,366.48 and 5,228.22

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Solution

The fourth proportional to 6,780.90, 9,366.48 and 5,228.22 is: 7,221.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,780.90 : 9,366.48 = 5,228.22 : x
  2. Step 2: Convert to fraction form
    6,780.90/9,366.48 = 5,228.22/x
  3. Step 3: Cross multiply
    6,780.90x = 9,366.48 × 5,228.22
  4. Step 4: Simplify right side
    6,780.90x = 48,970,018.07
  5. Step 5: Solve for x
    x = 48,970,018.07/6,780.90
  6. Step 6: Final answer
    x = 7,221.76

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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.