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Finding the Fourth Proportional to 9,939.78, 13,713.30 and 7,815.96

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Solution

The fourth proportional to 9,939.78, 13,713.30 and 7,815.96 is: 10,783.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,939.78 : 13,713.30 = 7,815.96 : x
  2. Step 2: Convert to fraction form
    9,939.78/13,713.30 = 7,815.96/x
  3. Step 3: Cross multiply
    9,939.78x = 13,713.30 × 7,815.96
  4. Step 4: Simplify right side
    9,939.78x = 107,182,604.27
  5. Step 5: Solve for x
    x = 107,182,604.27/9,939.78
  6. Step 6: Final answer
    x = 10,783.20

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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.