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Finding the Fourth Proportional to 6,144.14, 9,216.21 and 1,527.14

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Solution

The fourth proportional to 6,144.14, 9,216.21 and 1,527.14 is: 2,290.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,144.14 : 9,216.21 = 1,527.14 : x
  2. Step 2: Convert to fraction form
    6,144.14/9,216.21 = 1,527.14/x
  3. Step 3: Cross multiply
    6,144.14x = 9,216.21 × 1,527.14
  4. Step 4: Simplify right side
    6,144.14x = 14,074,423.72
  5. Step 5: Solve for x
    x = 14,074,423.72/6,144.14
  6. Step 6: Final answer
    x = 2,290.71

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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.