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Finding the Fourth Proportional to 9,996.63, 13,853.70 and 9,855.69

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Solution

The fourth proportional to 9,996.63, 13,853.70 and 9,855.69 is: 13,658.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,996.63 : 13,853.70 = 9,855.69 : x
  2. Step 2: Convert to fraction form
    9,996.63/13,853.70 = 9,855.69/x
  3. Step 3: Cross multiply
    9,996.63x = 13,853.70 × 9,855.69
  4. Step 4: Simplify right side
    9,996.63x = 136,537,772.55
  5. Step 5: Solve for x
    x = 136,537,772.55/9,996.63
  6. Step 6: Final answer
    x = 13,658.38

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.