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Finding the Fourth Proportional to 12,214.30, 16,855.78 and 6,909.46

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Solution

The fourth proportional to 12,214.30, 16,855.78 and 6,909.46 is: 9,535.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,214.30 : 16,855.78 = 6,909.46 : x
  2. Step 2: Convert to fraction form
    12,214.30/16,855.78 = 6,909.46/x
  3. Step 3: Cross multiply
    12,214.30x = 16,855.78 × 6,909.46
  4. Step 4: Simplify right side
    12,214.30x = 116,464,337.68
  5. Step 5: Solve for x
    x = 116,464,337.68/12,214.30
  6. Step 6: Final answer
    x = 9,535.08

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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.