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Finding the Fourth Proportional to 6,978.88, 9,631.05 and 3,835.27

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Solution

The fourth proportional to 6,978.88, 9,631.05 and 3,835.27 is: 5,292.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,978.88 : 9,631.05 = 3,835.27 : x
  2. Step 2: Convert to fraction form
    6,978.88/9,631.05 = 3,835.27/x
  3. Step 3: Cross multiply
    6,978.88x = 9,631.05 × 3,835.27
  4. Step 4: Simplify right side
    6,978.88x = 36,937,677.13
  5. Step 5: Solve for x
    x = 36,937,677.13/6,978.88
  6. Step 6: Final answer
    x = 5,292.78

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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.