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Finding the Fourth Proportional to 8,493.84, 12,710.60 and 6,267.36

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Solution

The fourth proportional to 8,493.84, 12,710.60 and 6,267.36 is: 9,378.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,493.84 : 12,710.60 = 6,267.36 : x
  2. Step 2: Convert to fraction form
    8,493.84/12,710.60 = 6,267.36/x
  3. Step 3: Cross multiply
    8,493.84x = 12,710.60 × 6,267.36
  4. Step 4: Simplify right side
    8,493.84x = 79,661,906.02
  5. Step 5: Solve for x
    x = 79,661,906.02/8,493.84
  6. Step 6: Final answer
    x = 9,378.79

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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.