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Finding the Fourth Proportional to 6,961.80, 9,607.24 and 3,818

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Solution

The fourth proportional to 6,961.80, 9,607.24 and 3,818 is: 5,268.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,961.80 : 9,607.24 = 3,818 : x
  2. Step 2: Convert to fraction form
    6,961.80/9,607.24 = 3,818/x
  3. Step 3: Cross multiply
    6,961.80x = 9,607.24 × 3,818
  4. Step 4: Simplify right side
    6,961.80x = 36,680,442.32
  5. Step 5: Solve for x
    x = 36,680,442.32/6,961.80
  6. Step 6: Final answer
    x = 5,268.82

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.