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Finding the Fourth Proportional to 6,173.14, 9,252.14 and 3,249.58

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Solution

The fourth proportional to 6,173.14, 9,252.14 and 3,249.58 is: 4,870.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,173.14 : 9,252.14 = 3,249.58 : x
  2. Step 2: Convert to fraction form
    6,173.14/9,252.14 = 3,249.58/x
  3. Step 3: Cross multiply
    6,173.14x = 9,252.14 × 3,249.58
  4. Step 4: Simplify right side
    6,173.14x = 30,065,569.10
  5. Step 5: Solve for x
    x = 30,065,569.10/6,173.14
  6. Step 6: Final answer
    x = 4,870.39

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.