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Finding the Fourth Proportional to 7,170.69, 9,896.40 and 4,026.87

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Solution

The fourth proportional to 7,170.69, 9,896.40 and 4,026.87 is: 5,557.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,170.69 : 9,896.40 = 4,026.87 : x
  2. Step 2: Convert to fraction form
    7,170.69/9,896.40 = 4,026.87/x
  3. Step 3: Cross multiply
    7,170.69x = 9,896.40 × 4,026.87
  4. Step 4: Simplify right side
    7,170.69x = 39,851,516.27
  5. Step 5: Solve for x
    x = 39,851,516.27/7,170.69
  6. Step 6: Final answer
    x = 5,557.56

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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.