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Finding the Fourth Proportional to 6,175.14, 9,263.87 and 2,477.65

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Solution

The fourth proportional to 6,175.14, 9,263.87 and 2,477.65 is: 3,716.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,175.14 : 9,263.87 = 2,477.65 : x
  2. Step 2: Convert to fraction form
    6,175.14/9,263.87 = 2,477.65/x
  3. Step 3: Cross multiply
    6,175.14x = 9,263.87 × 2,477.65
  4. Step 4: Simplify right side
    6,175.14x = 22,952,631.65
  5. Step 5: Solve for x
    x = 22,952,631.65/6,175.14
  6. Step 6: Final answer
    x = 3,716.94

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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.