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Finding the Fourth Proportional to 6,492.27, 9,737.49 and 2,109.78

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Solution

The fourth proportional to 6,492.27, 9,737.49 and 2,109.78 is: 3,164.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,492.27 : 9,737.49 = 2,109.78 : x
  2. Step 2: Convert to fraction form
    6,492.27/9,737.49 = 2,109.78/x
  3. Step 3: Cross multiply
    6,492.27x = 9,737.49 × 2,109.78
  4. Step 4: Simplify right side
    6,492.27x = 20,543,961.65
  5. Step 5: Solve for x
    x = 20,543,961.65/6,492.27
  6. Step 6: Final answer
    x = 3,164.37

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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.