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Finding the Fourth Proportional to 9,878.28, 13,622.76 and 7,227.96

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Solution

The fourth proportional to 9,878.28, 13,622.76 and 7,227.96 is: 9,967.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,878.28 : 13,622.76 = 7,227.96 : x
  2. Step 2: Convert to fraction form
    9,878.28/13,622.76 = 7,227.96/x
  3. Step 3: Cross multiply
    9,878.28x = 13,622.76 × 7,227.96
  4. Step 4: Simplify right side
    9,878.28x = 98,464,764.37
  5. Step 5: Solve for x
    x = 98,464,764.37/9,878.28
  6. Step 6: Final answer
    x = 9,967.80

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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.