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Finding the Fourth Proportional to 6,147.74, 9,221.97 and 1,765.10

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Solution

The fourth proportional to 6,147.74, 9,221.97 and 1,765.10 is: 2,647.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,147.74 : 9,221.97 = 1,765.10 : x
  2. Step 2: Convert to fraction form
    6,147.74/9,221.97 = 1,765.10/x
  3. Step 3: Cross multiply
    6,147.74x = 9,221.97 × 1,765.10
  4. Step 4: Simplify right side
    6,147.74x = 16,277,699.25
  5. Step 5: Solve for x
    x = 16,277,699.25/6,147.74
  6. Step 6: Final answer
    x = 2,647.75

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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.