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Finding the Fourth Proportional to 10,226.72, 14,109.28 and 6,692

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Solution

The fourth proportional to 10,226.72, 14,109.28 and 6,692 is: 9,232.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,226.72 : 14,109.28 = 6,692 : x
  2. Step 2: Convert to fraction form
    10,226.72/14,109.28 = 6,692/x
  3. Step 3: Cross multiply
    10,226.72x = 14,109.28 × 6,692
  4. Step 4: Simplify right side
    10,226.72x = 94,419,301.76
  5. Step 5: Solve for x
    x = 94,419,301.76/10,226.72
  6. Step 6: Final answer
    x = 9,232.61

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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.