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Finding the Fourth Proportional to 9,901.98, 14,836.50 and 6,974.10

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Solution

The fourth proportional to 9,901.98, 14,836.50 and 6,974.10 is: 10,449.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,901.98 : 14,836.50 = 6,974.10 : x
  2. Step 2: Convert to fraction form
    9,901.98/14,836.50 = 6,974.10/x
  3. Step 3: Cross multiply
    9,901.98x = 14,836.50 × 6,974.10
  4. Step 4: Simplify right side
    9,901.98x = 103,471,234.65
  5. Step 5: Solve for x
    x = 103,471,234.65/9,901.98
  6. Step 6: Final answer
    x = 10,449.55

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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.