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Finding the Fourth Proportional to 6,144.82, 9,217.29 and 1,527.82

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Solution

The fourth proportional to 6,144.82, 9,217.29 and 1,527.82 is: 2,291.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,144.82 : 9,217.29 = 1,527.82 : x
  2. Step 2: Convert to fraction form
    6,144.82/9,217.29 = 1,527.82/x
  3. Step 3: Cross multiply
    6,144.82x = 9,217.29 × 1,527.82
  4. Step 4: Simplify right side
    6,144.82x = 14,082,360.01
  5. Step 5: Solve for x
    x = 14,082,360.01/6,144.82
  6. Step 6: Final answer
    x = 2,291.74

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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.