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Finding the Fourth Proportional to 8,218.47, 12,324.54 and 6,466.92

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Solution

The fourth proportional to 8,218.47, 12,324.54 and 6,466.92 is: 9,697.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,218.47 : 12,324.54 = 6,466.92 : x
  2. Step 2: Convert to fraction form
    8,218.47/12,324.54 = 6,466.92/x
  3. Step 3: Cross multiply
    8,218.47x = 12,324.54 × 6,466.92
  4. Step 4: Simplify right side
    8,218.47x = 79,701,814.22
  5. Step 5: Solve for x
    x = 79,701,814.22/8,218.47
  6. Step 6: Final answer
    x = 9,697.89

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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.