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Finding the Fourth Proportional to 6,846.30, 9,447.86 and 3,702.49

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Solution

The fourth proportional to 6,846.30, 9,447.86 and 3,702.49 is: 5,109.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,846.30 : 9,447.86 = 3,702.49 : x
  2. Step 2: Convert to fraction form
    6,846.30/9,447.86 = 3,702.49/x
  3. Step 3: Cross multiply
    6,846.30x = 9,447.86 × 3,702.49
  4. Step 4: Simplify right side
    6,846.30x = 34,980,592.81
  5. Step 5: Solve for x
    x = 34,980,592.81/6,846.30
  6. Step 6: Final answer
    x = 5,109.42

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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.