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Finding the Fourth Proportional to 6,098.94, 8,422.52 and 5,209.56

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Solution

The fourth proportional to 6,098.94, 8,422.52 and 5,209.56 is: 7,194.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,098.94 : 8,422.52 = 5,209.56 : x
  2. Step 2: Convert to fraction form
    6,098.94/8,422.52 = 5,209.56/x
  3. Step 3: Cross multiply
    6,098.94x = 8,422.52 × 5,209.56
  4. Step 4: Simplify right side
    6,098.94x = 43,877,597.24
  5. Step 5: Solve for x
    x = 43,877,597.24/6,098.94
  6. Step 6: Final answer
    x = 7,194.30

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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.