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Finding the Fourth Proportional to 7,017.49, 9,684.26 and 3,830.95

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Solution

The fourth proportional to 7,017.49, 9,684.26 and 3,830.95 is: 5,286.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,017.49 : 9,684.26 = 3,830.95 : x
  2. Step 2: Convert to fraction form
    7,017.49/9,684.26 = 3,830.95/x
  3. Step 3: Cross multiply
    7,017.49x = 9,684.26 × 3,830.95
  4. Step 4: Simplify right side
    7,017.49x = 37,099,915.85
  5. Step 5: Solve for x
    x = 37,099,915.85/7,017.49
  6. Step 6: Final answer
    x = 5,286.78

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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.