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Finding the Fourth Proportional to 8,900.25, 12,287.25 and 6,661.31

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Solution

The fourth proportional to 8,900.25, 12,287.25 and 6,661.31 is: 9,196.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,900.25 : 12,287.25 = 6,661.31 : x
  2. Step 2: Convert to fraction form
    8,900.25/12,287.25 = 6,661.31/x
  3. Step 3: Cross multiply
    8,900.25x = 12,287.25 × 6,661.31
  4. Step 4: Simplify right side
    8,900.25x = 81,849,119.86
  5. Step 5: Solve for x
    x = 81,849,119.86/8,900.25
  6. Step 6: Final answer
    x = 9,196.28

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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.