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Finding the Fourth Proportional to 6,846.64, 9,448.35 and 3,702.82

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Solution

The fourth proportional to 6,846.64, 9,448.35 and 3,702.82 is: 5,109.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,846.64 : 9,448.35 = 3,702.82 : x
  2. Step 2: Convert to fraction form
    6,846.64/9,448.35 = 3,702.82/x
  3. Step 3: Cross multiply
    6,846.64x = 9,448.35 × 3,702.82
  4. Step 4: Simplify right side
    6,846.64x = 34,985,539.35
  5. Step 5: Solve for x
    x = 34,985,539.35/6,846.64
  6. Step 6: Final answer
    x = 5,109.88

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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.