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Finding the Fourth Proportional to 6,177.22, 9,269.16 and 4,488.80

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Solution

The fourth proportional to 6,177.22, 9,269.16 and 4,488.80 is: 6,735.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,177.22 : 9,269.16 = 4,488.80 : x
  2. Step 2: Convert to fraction form
    6,177.22/9,269.16 = 4,488.80/x
  3. Step 3: Cross multiply
    6,177.22x = 9,269.16 × 4,488.80
  4. Step 4: Simplify right side
    6,177.22x = 41,607,405.41
  5. Step 5: Solve for x
    x = 41,607,405.41/6,177.22
  6. Step 6: Final answer
    x = 6,735.62

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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.