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Finding the Fourth Proportional to 8,908.24, 12,291.36 and 6,783.28

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Solution

The fourth proportional to 8,908.24, 12,291.36 and 6,783.28 is: 9,359.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,908.24 : 12,291.36 = 6,783.28 : x
  2. Step 2: Convert to fraction form
    8,908.24/12,291.36 = 6,783.28/x
  3. Step 3: Cross multiply
    8,908.24x = 12,291.36 × 6,783.28
  4. Step 4: Simplify right side
    8,908.24x = 83,375,736.46
  5. Step 5: Solve for x
    x = 83,375,736.46/8,908.24
  6. Step 6: Final answer
    x = 9,359.39

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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.