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Finding the Fourth Proportional to 7,032.18, 9,706.02 and 4,049.73

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Solution

The fourth proportional to 7,032.18, 9,706.02 and 4,049.73 is: 5,589.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,032.18 : 9,706.02 = 4,049.73 : x
  2. Step 2: Convert to fraction form
    7,032.18/9,706.02 = 4,049.73/x
  3. Step 3: Cross multiply
    7,032.18x = 9,706.02 × 4,049.73
  4. Step 4: Simplify right side
    7,032.18x = 39,306,760.37
  5. Step 5: Solve for x
    x = 39,306,760.37/7,032.18
  6. Step 6: Final answer
    x = 5,589.56

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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.