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Finding the Fourth Proportional to 6,098.82, 8,422.35 and 5,209.44

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Solution

The fourth proportional to 6,098.82, 8,422.35 and 5,209.44 is: 7,194.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,098.82 : 8,422.35 = 5,209.44 : x
  2. Step 2: Convert to fraction form
    6,098.82/8,422.35 = 5,209.44/x
  3. Step 3: Cross multiply
    6,098.82x = 8,422.35 × 5,209.44
  4. Step 4: Simplify right side
    6,098.82x = 43,875,658.83
  5. Step 5: Solve for x
    x = 43,875,658.83/6,098.82
  6. Step 6: Final answer
    x = 7,194.13

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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.