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Finding the Fourth Proportional to 6,830.98, 9,427.65 and 3,847.40

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Solution

The fourth proportional to 6,830.98, 9,427.65 and 3,847.40 is: 5,309.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,830.98 : 9,427.65 = 3,847.40 : x
  2. Step 2: Convert to fraction form
    6,830.98/9,427.65 = 3,847.40/x
  3. Step 3: Cross multiply
    6,830.98x = 9,427.65 × 3,847.40
  4. Step 4: Simplify right side
    6,830.98x = 36,271,940.61
  5. Step 5: Solve for x
    x = 36,271,940.61/6,830.98
  6. Step 6: Final answer
    x = 5,309.92

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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.