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Finding the Fourth Proportional to 9,468.40, 14,202.60 and 2,542.90

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Solution

The fourth proportional to 9,468.40, 14,202.60 and 2,542.90 is: 3,814.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,468.40 : 14,202.60 = 2,542.90 : x
  2. Step 2: Convert to fraction form
    9,468.40/14,202.60 = 2,542.90/x
  3. Step 3: Cross multiply
    9,468.40x = 14,202.60 × 2,542.90
  4. Step 4: Simplify right side
    9,468.40x = 36,115,791.54
  5. Step 5: Solve for x
    x = 36,115,791.54/9,468.40
  6. Step 6: Final answer
    x = 3,814.35

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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.