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Finding the Fourth Proportional to 6,215.68, 9,323.56 and 2,702.80

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Solution

The fourth proportional to 6,215.68, 9,323.56 and 2,702.80 is: 4,054.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,215.68 : 9,323.56 = 2,702.80 : x
  2. Step 2: Convert to fraction form
    6,215.68/9,323.56 = 2,702.80/x
  3. Step 3: Cross multiply
    6,215.68x = 9,323.56 × 2,702.80
  4. Step 4: Simplify right side
    6,215.68x = 25,199,717.97
  5. Step 5: Solve for x
    x = 25,199,717.97/6,215.68
  6. Step 6: Final answer
    x = 4,054.22

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.