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Finding the Fourth Proportional to 6,207.64, 9,311.20 and 1,527.66

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Solution

The fourth proportional to 6,207.64, 9,311.20 and 1,527.66 is: 2,291.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,207.64 : 9,311.20 = 1,527.66 : x
  2. Step 2: Convert to fraction form
    6,207.64/9,311.20 = 1,527.66/x
  3. Step 3: Cross multiply
    6,207.64x = 9,311.20 × 1,527.66
  4. Step 4: Simplify right side
    6,207.64x = 14,224,343.97
  5. Step 5: Solve for x
    x = 14,224,343.97/6,207.64
  6. Step 6: Final answer
    x = 2,291.43

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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.