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Finding the Fourth Proportional to 9,805.25, 14,711.12 and 3,142.80

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Solution

The fourth proportional to 9,805.25, 14,711.12 and 3,142.80 is: 4,715.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,805.25 : 14,711.12 = 3,142.80 : x
  2. Step 2: Convert to fraction form
    9,805.25/14,711.12 = 3,142.80/x
  3. Step 3: Cross multiply
    9,805.25x = 14,711.12 × 3,142.80
  4. Step 4: Simplify right side
    9,805.25x = 46,234,104.01
  5. Step 5: Solve for x
    x = 46,234,104.01/9,805.25
  6. Step 6: Final answer
    x = 4,715.24

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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.