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Finding the Fourth Proportional to 9,922.46, 14,882.67 and 4,990.09

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Solution

The fourth proportional to 9,922.46, 14,882.67 and 4,990.09 is: 7,484.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,922.46 : 14,882.67 = 4,990.09 : x
  2. Step 2: Convert to fraction form
    9,922.46/14,882.67 = 4,990.09/x
  3. Step 3: Cross multiply
    9,922.46x = 14,882.67 × 4,990.09
  4. Step 4: Simplify right side
    9,922.46x = 74,265,862.74
  5. Step 5: Solve for x
    x = 74,265,862.74/9,922.46
  6. Step 6: Final answer
    x = 7,484.62

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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.