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Finding the Fourth Proportional to 9,542.94, 14,309.85 and 2,969.18

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Solution

The fourth proportional to 9,542.94, 14,309.85 and 2,969.18 is: 4,452.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,542.94 : 14,309.85 = 2,969.18 : x
  2. Step 2: Convert to fraction form
    9,542.94/14,309.85 = 2,969.18/x
  3. Step 3: Cross multiply
    9,542.94x = 14,309.85 × 2,969.18
  4. Step 4: Simplify right side
    9,542.94x = 42,488,520.42
  5. Step 5: Solve for x
    x = 42,488,520.42/9,542.94
  6. Step 6: Final answer
    x = 4,452.35

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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.