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Finding the Fourth Proportional to 6,172.62, 8,519.43 and 4,677.93

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Solution

The fourth proportional to 6,172.62, 8,519.43 and 4,677.93 is: 6,456.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,172.62 : 8,519.43 = 4,677.93 : x
  2. Step 2: Convert to fraction form
    6,172.62/8,519.43 = 4,677.93/x
  3. Step 3: Cross multiply
    6,172.62x = 8,519.43 × 4,677.93
  4. Step 4: Simplify right side
    6,172.62x = 39,853,297.18
  5. Step 5: Solve for x
    x = 39,853,297.18/6,172.62
  6. Step 6: Final answer
    x = 6,456.46

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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.