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Finding the Fourth Proportional to 9,542.16, 14,311.42 and 2,968.43

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Solution

The fourth proportional to 9,542.16, 14,311.42 and 2,968.43 is: 4,452.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,542.16 : 14,311.42 = 2,968.43 : x
  2. Step 2: Convert to fraction form
    9,542.16/14,311.42 = 2,968.43/x
  3. Step 3: Cross multiply
    9,542.16x = 14,311.42 × 2,968.43
  4. Step 4: Simplify right side
    9,542.16x = 42,482,362.07
  5. Step 5: Solve for x
    x = 42,482,362.07/9,542.16
  6. Step 6: Final answer
    x = 4,452.07

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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.