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Finding the Fourth Proportional to 7,006.72, 9,669.72 and 3,863.20

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Solution

The fourth proportional to 7,006.72, 9,669.72 and 3,863.20 is: 5,331.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,006.72 : 9,669.72 = 3,863.20 : x
  2. Step 2: Convert to fraction form
    7,006.72/9,669.72 = 3,863.20/x
  3. Step 3: Cross multiply
    7,006.72x = 9,669.72 × 3,863.20
  4. Step 4: Simplify right side
    7,006.72x = 37,356,062.30
  5. Step 5: Solve for x
    x = 37,356,062.30/7,006.72
  6. Step 6: Final answer
    x = 5,331.46

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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.