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Finding the Fourth Proportional to 9,542.57, 14,314.82 and 2,966.99

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Solution

The fourth proportional to 9,542.57, 14,314.82 and 2,966.99 is: 4,450.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,542.57 : 14,314.82 = 2,966.99 : x
  2. Step 2: Convert to fraction form
    9,542.57/14,314.82 = 2,966.99/x
  3. Step 3: Cross multiply
    9,542.57x = 14,314.82 × 2,966.99
  4. Step 4: Simplify right side
    9,542.57x = 42,471,841.38
  5. Step 5: Solve for x
    x = 42,471,841.38/9,542.57
  6. Step 6: Final answer
    x = 4,450.78

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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.