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Finding the Fourth Proportional to 6,343.36, 9,514.11 and 3,712.08

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Solution

The fourth proportional to 6,343.36, 9,514.11 and 3,712.08 is: 5,567.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,343.36 : 9,514.11 = 3,712.08 : x
  2. Step 2: Convert to fraction form
    6,343.36/9,514.11 = 3,712.08/x
  3. Step 3: Cross multiply
    6,343.36x = 9,514.11 × 3,712.08
  4. Step 4: Simplify right side
    6,343.36x = 35,317,137.45
  5. Step 5: Solve for x
    x = 35,317,137.45/6,343.36
  6. Step 6: Final answer
    x = 5,567.58

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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.