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Finding the Fourth Proportional to 6,175.88, 9,263.82 and 2,279.38

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Solution

The fourth proportional to 6,175.88, 9,263.82 and 2,279.38 is: 3,419.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,175.88 : 9,263.82 = 2,279.38 : x
  2. Step 2: Convert to fraction form
    6,175.88/9,263.82 = 2,279.38/x
  3. Step 3: Cross multiply
    6,175.88x = 9,263.82 × 2,279.38
  4. Step 4: Simplify right side
    6,175.88x = 21,115,719.71
  5. Step 5: Solve for x
    x = 21,115,719.71/6,175.88
  6. Step 6: Final answer
    x = 3,419.06

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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.