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Finding the Fourth Proportional to 9,956.78, 13,739.71 and 5,707.79

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Solution

The fourth proportional to 9,956.78, 13,739.71 and 5,707.79 is: 7,876.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,956.78 : 13,739.71 = 5,707.79 : x
  2. Step 2: Convert to fraction form
    9,956.78/13,739.71 = 5,707.79/x
  3. Step 3: Cross multiply
    9,956.78x = 13,739.71 × 5,707.79
  4. Step 4: Simplify right side
    9,956.78x = 78,423,379.34
  5. Step 5: Solve for x
    x = 78,423,379.34/9,956.78
  6. Step 6: Final answer
    x = 7,876.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.