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Finding the Fourth Proportional to 9,799.56, 14,701.68 and 2,874

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Solution

The fourth proportional to 9,799.56, 14,701.68 and 2,874 is: 4,311.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,799.56 : 14,701.68 = 2,874 : x
  2. Step 2: Convert to fraction form
    9,799.56/14,701.68 = 2,874/x
  3. Step 3: Cross multiply
    9,799.56x = 14,701.68 × 2,874
  4. Step 4: Simplify right side
    9,799.56x = 42,252,628.32
  5. Step 5: Solve for x
    x = 42,252,628.32/9,799.56
  6. Step 6: Final answer
    x = 4,311.69

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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.