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Finding the Fourth Proportional to 9,931.77, 13,704.66 and 5,952.24

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Solution

The fourth proportional to 9,931.77, 13,704.66 and 5,952.24 is: 8,213.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,931.77 : 13,704.66 = 5,952.24 : x
  2. Step 2: Convert to fraction form
    9,931.77/13,704.66 = 5,952.24/x
  3. Step 3: Cross multiply
    9,931.77x = 13,704.66 × 5,952.24
  4. Step 4: Simplify right side
    9,931.77x = 81,573,425.44
  5. Step 5: Solve for x
    x = 81,573,425.44/9,931.77
  6. Step 6: Final answer
    x = 8,213.38

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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.