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Finding the Fourth Proportional to 9,468.02, 14,202.12 and 2,542.52

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Solution

The fourth proportional to 9,468.02, 14,202.12 and 2,542.52 is: 3,813.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,468.02 : 14,202.12 = 2,542.52 : x
  2. Step 2: Convert to fraction form
    9,468.02/14,202.12 = 2,542.52/x
  3. Step 3: Cross multiply
    9,468.02x = 14,202.12 × 2,542.52
  4. Step 4: Simplify right side
    9,468.02x = 36,109,174.14
  5. Step 5: Solve for x
    x = 36,109,174.14/9,468.02
  6. Step 6: Final answer
    x = 3,813.80

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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.