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Finding the Fourth Proportional to 6,846.39, 9,447.99 and 3,702.60

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Solution

The fourth proportional to 6,846.39, 9,447.99 and 3,702.60 is: 5,109.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,846.39 : 9,447.99 = 3,702.60 : x
  2. Step 2: Convert to fraction form
    6,846.39/9,447.99 = 3,702.60/x
  3. Step 3: Cross multiply
    6,846.39x = 9,447.99 × 3,702.60
  4. Step 4: Simplify right side
    6,846.39x = 34,982,127.77
  5. Step 5: Solve for x
    x = 34,982,127.77/6,846.39
  6. Step 6: Final answer
    x = 5,109.57

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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.