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Finding the Fourth Proportional to 9,986.34, 13,780.26 and 5,794.86

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Solution

The fourth proportional to 9,986.34, 13,780.26 and 5,794.86 is: 7,996.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,986.34 : 13,780.26 = 5,794.86 : x
  2. Step 2: Convert to fraction form
    9,986.34/13,780.26 = 5,794.86/x
  3. Step 3: Cross multiply
    9,986.34x = 13,780.26 × 5,794.86
  4. Step 4: Simplify right side
    9,986.34x = 79,854,677.46
  5. Step 5: Solve for x
    x = 79,854,677.46/9,986.34
  6. Step 6: Final answer
    x = 7,996.39

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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.