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Finding the Fourth Proportional to 12,251.53, 16,909.34 and 6,946.44

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Solution

The fourth proportional to 12,251.53, 16,909.34 and 6,946.44 is: 9,587.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,251.53 : 16,909.34 = 6,946.44 : x
  2. Step 2: Convert to fraction form
    12,251.53/16,909.34 = 6,946.44/x
  3. Step 3: Cross multiply
    12,251.53x = 16,909.34 × 6,946.44
  4. Step 4: Simplify right side
    12,251.53x = 117,459,656.68
  5. Step 5: Solve for x
    x = 117,459,656.68/12,251.53
  6. Step 6: Final answer
    x = 9,587.34

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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.