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Finding the Fourth Proportional to 7,052.27, 9,711.41 and 6,305.99

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Solution

The fourth proportional to 7,052.27, 9,711.41 and 6,305.99 is: 8,683.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,052.27 : 9,711.41 = 6,305.99 : x
  2. Step 2: Convert to fraction form
    7,052.27/9,711.41 = 6,305.99/x
  3. Step 3: Cross multiply
    7,052.27x = 9,711.41 × 6,305.99
  4. Step 4: Simplify right side
    7,052.27x = 61,239,974.26
  5. Step 5: Solve for x
    x = 61,239,974.26/7,052.27
  6. Step 6: Final answer
    x = 8,683.73

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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.