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Finding the Fourth Proportional to 6,267.42, 9,401.67 and 6,182.10

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Solution

The fourth proportional to 6,267.42, 9,401.67 and 6,182.10 is: 9,273.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,267.42 : 9,401.67 = 6,182.10 : x
  2. Step 2: Convert to fraction form
    6,267.42/9,401.67 = 6,182.10/x
  3. Step 3: Cross multiply
    6,267.42x = 9,401.67 × 6,182.10
  4. Step 4: Simplify right side
    6,267.42x = 58,122,064.11
  5. Step 5: Solve for x
    x = 58,122,064.11/6,267.42
  6. Step 6: Final answer
    x = 9,273.68

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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.