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Finding the Fourth Proportional to 6,335.26, 8,734.46 and 4,342.25

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Solution

The fourth proportional to 6,335.26, 8,734.46 and 4,342.25 is: 5,986.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,335.26 : 8,734.46 = 4,342.25 : x
  2. Step 2: Convert to fraction form
    6,335.26/8,734.46 = 4,342.25/x
  3. Step 3: Cross multiply
    6,335.26x = 8,734.46 × 4,342.25
  4. Step 4: Simplify right side
    6,335.26x = 37,927,208.94
  5. Step 5: Solve for x
    x = 37,927,208.94/6,335.26
  6. Step 6: Final answer
    x = 5,986.69

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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.