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Finding the Fourth Proportional to 9,704.38, 14,542.90 and 4,426.42

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Solution

The fourth proportional to 9,704.38, 14,542.90 and 4,426.42 is: 6,633.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,704.38 : 14,542.90 = 4,426.42 : x
  2. Step 2: Convert to fraction form
    9,704.38/14,542.90 = 4,426.42/x
  3. Step 3: Cross multiply
    9,704.38x = 14,542.90 × 4,426.42
  4. Step 4: Simplify right side
    9,704.38x = 64,372,983.42
  5. Step 5: Solve for x
    x = 64,372,983.42/9,704.38
  6. Step 6: Final answer
    x = 6,633.39

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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.