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Finding the Fourth Proportional to 6,101.98, 9,103.68 and 5,184.22

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Solution

The fourth proportional to 6,101.98, 9,103.68 and 5,184.22 is: 7,734.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,101.98 : 9,103.68 = 5,184.22 : x
  2. Step 2: Convert to fraction form
    6,101.98/9,103.68 = 5,184.22/x
  3. Step 3: Cross multiply
    6,101.98x = 9,103.68 × 5,184.22
  4. Step 4: Simplify right side
    6,101.98x = 47,195,479.93
  5. Step 5: Solve for x
    x = 47,195,479.93/6,101.98
  6. Step 6: Final answer
    x = 7,734.45

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.