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Finding the Fourth Proportional to 6,986.90, 9,638.24 and 5,305.52

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Solution

The fourth proportional to 6,986.90, 9,638.24 and 5,305.52 is: 7,318.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,986.90 : 9,638.24 = 5,305.52 : x
  2. Step 2: Convert to fraction form
    6,986.90/9,638.24 = 5,305.52/x
  3. Step 3: Cross multiply
    6,986.90x = 9,638.24 × 5,305.52
  4. Step 4: Simplify right side
    6,986.90x = 51,135,800.37
  5. Step 5: Solve for x
    x = 51,135,800.37/6,986.90
  6. Step 6: Final answer
    x = 7,318.82

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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.