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Finding the Fourth Proportional to 6,078.40, 9,121.20 and 4,430.80

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Solution

The fourth proportional to 6,078.40, 9,121.20 and 4,430.80 is: 6,648.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,078.40 : 9,121.20 = 4,430.80 : x
  2. Step 2: Convert to fraction form
    6,078.40/9,121.20 = 4,430.80/x
  3. Step 3: Cross multiply
    6,078.40x = 9,121.20 × 4,430.80
  4. Step 4: Simplify right side
    6,078.40x = 40,414,212.96
  5. Step 5: Solve for x
    x = 40,414,212.96/6,078.40
  6. Step 6: Final answer
    x = 6,648.82

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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.