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Finding the Fourth Proportional to 6,173.88, 8,519.97 and 4,314.12

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Solution

The fourth proportional to 6,173.88, 8,519.97 and 4,314.12 is: 5,953.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,173.88 : 8,519.97 = 4,314.12 : x
  2. Step 2: Convert to fraction form
    6,173.88/8,519.97 = 4,314.12/x
  3. Step 3: Cross multiply
    6,173.88x = 8,519.97 × 4,314.12
  4. Step 4: Simplify right side
    6,173.88x = 36,756,172.98
  5. Step 5: Solve for x
    x = 36,756,172.98/6,173.88
  6. Step 6: Final answer
    x = 5,953.50

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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.