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Finding the Fourth Proportional to 9,821.88, 14,732.82 and 2,901.24

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Solution

The fourth proportional to 9,821.88, 14,732.82 and 2,901.24 is: 4,351.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,821.88 : 14,732.82 = 2,901.24 : x
  2. Step 2: Convert to fraction form
    9,821.88/14,732.82 = 2,901.24/x
  3. Step 3: Cross multiply
    9,821.88x = 14,732.82 × 2,901.24
  4. Step 4: Simplify right side
    9,821.88x = 42,743,446.70
  5. Step 5: Solve for x
    x = 42,743,446.70/9,821.88
  6. Step 6: Final answer
    x = 4,351.86

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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.