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Finding the Fourth Proportional to 9,836.38, 14,754.76 and 2,910.88

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Solution

The fourth proportional to 9,836.38, 14,754.76 and 2,910.88 is: 4,366.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,836.38 : 14,754.76 = 2,910.88 : x
  2. Step 2: Convert to fraction form
    9,836.38/14,754.76 = 2,910.88/x
  3. Step 3: Cross multiply
    9,836.38x = 14,754.76 × 2,910.88
  4. Step 4: Simplify right side
    9,836.38x = 42,949,335.79
  5. Step 5: Solve for x
    x = 42,949,335.79/9,836.38
  6. Step 6: Final answer
    x = 4,366.38

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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.