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Finding the Fourth Proportional to 8,186.10, 12,291.30 and 6,339.30

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Solution

The fourth proportional to 8,186.10, 12,291.30 and 6,339.30 is: 9,518.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,186.10 : 12,291.30 = 6,339.30 : x
  2. Step 2: Convert to fraction form
    8,186.10/12,291.30 = 6,339.30/x
  3. Step 3: Cross multiply
    8,186.10x = 12,291.30 × 6,339.30
  4. Step 4: Simplify right side
    8,186.10x = 77,918,238.09
  5. Step 5: Solve for x
    x = 77,918,238.09/8,186.10
  6. Step 6: Final answer
    x = 9,518.36

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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.