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Finding the Fourth Proportional to 6,897.05, 9,517.80 and 3,830.79

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Solution

The fourth proportional to 6,897.05, 9,517.80 and 3,830.79 is: 5,286.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,897.05 : 9,517.80 = 3,830.79 : x
  2. Step 2: Convert to fraction form
    6,897.05/9,517.80 = 3,830.79/x
  3. Step 3: Cross multiply
    6,897.05x = 9,517.80 × 3,830.79
  4. Step 4: Simplify right side
    6,897.05x = 36,460,743.12
  5. Step 5: Solve for x
    x = 36,460,743.12/6,897.05
  6. Step 6: Final answer
    x = 5,286.43

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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.