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Finding the Fourth Proportional to 7,049.10, 9,727.50 and 4,065.06

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Solution

The fourth proportional to 7,049.10, 9,727.50 and 4,065.06 is: 5,609.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,049.10 : 9,727.50 = 4,065.06 : x
  2. Step 2: Convert to fraction form
    7,049.10/9,727.50 = 4,065.06/x
  3. Step 3: Cross multiply
    7,049.10x = 9,727.50 × 4,065.06
  4. Step 4: Simplify right side
    7,049.10x = 39,542,871.15
  5. Step 5: Solve for x
    x = 39,542,871.15/7,049.10
  6. Step 6: Final answer
    x = 5,609.63

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.