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Finding the Fourth Proportional to 8,214.18, 12,318.12 and 6,462.63

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Solution

The fourth proportional to 8,214.18, 12,318.12 and 6,462.63 is: 9,691.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,214.18 : 12,318.12 = 6,462.63 : x
  2. Step 2: Convert to fraction form
    8,214.18/12,318.12 = 6,462.63/x
  3. Step 3: Cross multiply
    8,214.18x = 12,318.12 × 6,462.63
  4. Step 4: Simplify right side
    8,214.18x = 79,607,405.66
  5. Step 5: Solve for x
    x = 79,607,405.66/8,214.18
  6. Step 6: Final answer
    x = 9,691.46

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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.