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Finding the Fourth Proportional to 6,542.70, 9,812.73 and 3,030.54

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Solution

The fourth proportional to 6,542.70, 9,812.73 and 3,030.54 is: 4,545.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,542.70 : 9,812.73 = 3,030.54 : x
  2. Step 2: Convert to fraction form
    6,542.70/9,812.73 = 3,030.54/x
  3. Step 3: Cross multiply
    6,542.70x = 9,812.73 × 3,030.54
  4. Step 4: Simplify right side
    6,542.70x = 29,737,870.77
  5. Step 5: Solve for x
    x = 29,737,870.77/6,542.70
  6. Step 6: Final answer
    x = 4,545.20

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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.