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Finding the Fourth Proportional to 6,846.20, 9,447.76 and 3,702.40

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Solution

The fourth proportional to 6,846.20, 9,447.76 and 3,702.40 is: 5,109.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,846.20 : 9,447.76 = 3,702.40 : x
  2. Step 2: Convert to fraction form
    6,846.20/9,447.76 = 3,702.40/x
  3. Step 3: Cross multiply
    6,846.20x = 9,447.76 × 3,702.40
  4. Step 4: Simplify right side
    6,846.20x = 34,979,386.62
  5. Step 5: Solve for x
    x = 34,979,386.62/6,846.20
  6. Step 6: Final answer
    x = 5,109.31

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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.