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Finding the Fourth Proportional to 6,147.57, 9,221.33 and 1,765.02

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Solution

The fourth proportional to 6,147.57, 9,221.33 and 1,765.02 is: 2,647.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,147.57 : 9,221.33 = 1,765.02 : x
  2. Step 2: Convert to fraction form
    6,147.57/9,221.33 = 1,765.02/x
  3. Step 3: Cross multiply
    6,147.57x = 9,221.33 × 1,765.02
  4. Step 4: Simplify right side
    6,147.57x = 16,275,823.05
  5. Step 5: Solve for x
    x = 16,275,823.05/6,147.57
  6. Step 6: Final answer
    x = 2,647.52

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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.