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Finding the Fourth Proportional to 9,704.68, 14,551.26 and 3,864.04

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Solution

The fourth proportional to 9,704.68, 14,551.26 and 3,864.04 is: 5,793.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,704.68 : 14,551.26 = 3,864.04 : x
  2. Step 2: Convert to fraction form
    9,704.68/14,551.26 = 3,864.04/x
  3. Step 3: Cross multiply
    9,704.68x = 14,551.26 × 3,864.04
  4. Step 4: Simplify right side
    9,704.68x = 56,226,650.69
  5. Step 5: Solve for x
    x = 56,226,650.69/9,704.68
  6. Step 6: Final answer
    x = 5,793.77

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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.