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Finding the Fourth Proportional to 6,961.89, 9,607.38 and 3,818.07

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Solution

The fourth proportional to 6,961.89, 9,607.38 and 3,818.07 is: 5,268.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,961.89 : 9,607.38 = 3,818.07 : x
  2. Step 2: Convert to fraction form
    6,961.89/9,607.38 = 3,818.07/x
  3. Step 3: Cross multiply
    6,961.89x = 9,607.38 × 3,818.07
  4. Step 4: Simplify right side
    6,961.89x = 36,681,649.36
  5. Step 5: Solve for x
    x = 36,681,649.36/6,961.89
  6. Step 6: Final answer
    x = 5,268.92

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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.