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Finding the Fourth Proportional to 6,986.30, 9,638.73 and 4,744.28

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Solution

The fourth proportional to 6,986.30, 9,638.73 and 4,744.28 is: 6,545.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,986.30 : 9,638.73 = 4,744.28 : x
  2. Step 2: Convert to fraction form
    6,986.30/9,638.73 = 4,744.28/x
  3. Step 3: Cross multiply
    6,986.30x = 9,638.73 × 4,744.28
  4. Step 4: Simplify right side
    6,986.30x = 45,728,785.77
  5. Step 5: Solve for x
    x = 45,728,785.77/6,986.30
  6. Step 6: Final answer
    x = 6,545.50

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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.