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Finding the Fourth Proportional to 9,931.32, 13,706.38 and 5,739.48

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Solution

The fourth proportional to 9,931.32, 13,706.38 and 5,739.48 is: 7,921.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,931.32 : 13,706.38 = 5,739.48 : x
  2. Step 2: Convert to fraction form
    9,931.32/13,706.38 = 5,739.48/x
  3. Step 3: Cross multiply
    9,931.32x = 13,706.38 × 5,739.48
  4. Step 4: Simplify right side
    9,931.32x = 78,667,493.88
  5. Step 5: Solve for x
    x = 78,667,493.88/9,931.32
  6. Step 6: Final answer
    x = 7,921.15

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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.