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Finding the Fourth Proportional to 8,637.75, 11,868.42 and 6,866.28

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Solution

The fourth proportional to 8,637.75, 11,868.42 and 6,866.28 is: 9,434.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,637.75 : 11,868.42 = 6,866.28 : x
  2. Step 2: Convert to fraction form
    8,637.75/11,868.42 = 6,866.28/x
  3. Step 3: Cross multiply
    8,637.75x = 11,868.42 × 6,866.28
  4. Step 4: Simplify right side
    8,637.75x = 81,491,894.88
  5. Step 5: Solve for x
    x = 81,491,894.88/8,637.75
  6. Step 6: Final answer
    x = 9,434.39

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.