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Finding the Fourth Proportional to 9,542.55, 14,315.42 and 2,967.42

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Solution

The fourth proportional to 9,542.55, 14,315.42 and 2,967.42 is: 4,451.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,542.55 : 14,315.42 = 2,967.42 : x
  2. Step 2: Convert to fraction form
    9,542.55/14,315.42 = 2,967.42/x
  3. Step 3: Cross multiply
    9,542.55x = 14,315.42 × 2,967.42
  4. Step 4: Simplify right side
    9,542.55x = 42,479,863.62
  5. Step 5: Solve for x
    x = 42,479,863.62/9,542.55
  6. Step 6: Final answer
    x = 4,451.63

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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.