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Finding the Fourth Proportional to 9,758.12, 14,634.56 and 2,737.74

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Solution

The fourth proportional to 9,758.12, 14,634.56 and 2,737.74 is: 4,105.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,758.12 : 14,634.56 = 2,737.74 : x
  2. Step 2: Convert to fraction form
    9,758.12/14,634.56 = 2,737.74/x
  3. Step 3: Cross multiply
    9,758.12x = 14,634.56 × 2,737.74
  4. Step 4: Simplify right side
    9,758.12x = 40,065,620.29
  5. Step 5: Solve for x
    x = 40,065,620.29/9,758.12
  6. Step 6: Final answer
    x = 4,105.87

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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.