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Finding the Fourth Proportional to 7,171.70, 9,895.32 and 4,027.68

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Solution

The fourth proportional to 7,171.70, 9,895.32 and 4,027.68 is: 5,557.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,171.70 : 9,895.32 = 4,027.68 : x
  2. Step 2: Convert to fraction form
    7,171.70/9,895.32 = 4,027.68/x
  3. Step 3: Cross multiply
    7,171.70x = 9,895.32 × 4,027.68
  4. Step 4: Simplify right side
    7,171.70x = 39,855,182.46
  5. Step 5: Solve for x
    x = 39,855,182.46/7,171.70
  6. Step 6: Final answer
    x = 5,557.29

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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.