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Finding the Fourth Proportional to 7,170.36, 9,896.09 and 4,026.75

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Solution

The fourth proportional to 7,170.36, 9,896.09 and 4,026.75 is: 5,557.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,170.36 : 9,896.09 = 4,026.75 : x
  2. Step 2: Convert to fraction form
    7,170.36/9,896.09 = 4,026.75/x
  3. Step 3: Cross multiply
    7,170.36x = 9,896.09 × 4,026.75
  4. Step 4: Simplify right side
    7,170.36x = 39,849,060.27
  5. Step 5: Solve for x
    x = 39,849,060.27/7,170.36
  6. Step 6: Final answer
    x = 5,557.47

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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.