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Finding the Fourth Proportional to 12,213.39, 16,854.82 and 6,909.02

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Solution

The fourth proportional to 12,213.39, 16,854.82 and 6,909.02 is: 9,534.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,213.39 : 16,854.82 = 6,909.02 : x
  2. Step 2: Convert to fraction form
    12,213.39/16,854.82 = 6,909.02/x
  3. Step 3: Cross multiply
    12,213.39x = 16,854.82 × 6,909.02
  4. Step 4: Simplify right side
    12,213.39x = 116,450,288.48
  5. Step 5: Solve for x
    x = 116,450,288.48/12,213.39
  6. Step 6: Final answer
    x = 9,534.64

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.