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Finding the Fourth Proportional to 7,170.94, 9,896.40 and 4,027.13

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Solution

The fourth proportional to 7,170.94, 9,896.40 and 4,027.13 is: 5,557.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,170.94 : 9,896.40 = 4,027.13 : x
  2. Step 2: Convert to fraction form
    7,170.94/9,896.40 = 4,027.13/x
  3. Step 3: Cross multiply
    7,170.94x = 9,896.40 × 4,027.13
  4. Step 4: Simplify right side
    7,170.94x = 39,854,039.85
  5. Step 5: Solve for x
    x = 39,854,039.85/7,170.94
  6. Step 6: Final answer
    x = 5,557.72

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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.