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Finding the Fourth Proportional to 6,962.54, 9,608.79 and 3,818.93

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Solution

The fourth proportional to 6,962.54, 9,608.79 and 3,818.93 is: 5,270.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,962.54 : 9,608.79 = 3,818.93 : x
  2. Step 2: Convert to fraction form
    6,962.54/9,608.79 = 3,818.93/x
  3. Step 3: Cross multiply
    6,962.54x = 9,608.79 × 3,818.93
  4. Step 4: Simplify right side
    6,962.54x = 36,695,296.39
  5. Step 5: Solve for x
    x = 36,695,296.39/6,962.54
  6. Step 6: Final answer
    x = 5,270.39

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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.