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Finding the Fourth Proportional to 9,981.68, 14,974.48 and 2,961.84

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Solution

The fourth proportional to 9,981.68, 14,974.48 and 2,961.84 is: 4,443.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,981.68 : 14,974.48 = 2,961.84 : x
  2. Step 2: Convert to fraction form
    9,981.68/14,974.48 = 2,961.84/x
  3. Step 3: Cross multiply
    9,981.68x = 14,974.48 × 2,961.84
  4. Step 4: Simplify right side
    9,981.68x = 44,352,013.84
  5. Step 5: Solve for x
    x = 44,352,013.84/9,981.68
  6. Step 6: Final answer
    x = 4,443.34

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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.