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Finding the Fourth Proportional to 8,321.35, 12,444.12 and 6,214.46

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Solution

The fourth proportional to 8,321.35, 12,444.12 and 6,214.46 is: 9,293.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,321.35 : 12,444.12 = 6,214.46 : x
  2. Step 2: Convert to fraction form
    8,321.35/12,444.12 = 6,214.46/x
  3. Step 3: Cross multiply
    8,321.35x = 12,444.12 × 6,214.46
  4. Step 4: Simplify right side
    8,321.35x = 77,333,517.09
  5. Step 5: Solve for x
    x = 77,333,517.09/8,321.35
  6. Step 6: Final answer
    x = 9,293.39

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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.