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Finding the Fourth Proportional to 10,185.28, 14,057.67 and 6,642.34

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Solution

The fourth proportional to 10,185.28, 14,057.67 and 6,642.34 is: 9,167.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,185.28 : 14,057.67 = 6,642.34 : x
  2. Step 2: Convert to fraction form
    10,185.28/14,057.67 = 6,642.34/x
  3. Step 3: Cross multiply
    10,185.28x = 14,057.67 × 6,642.34
  4. Step 4: Simplify right side
    10,185.28x = 93,375,833.98
  5. Step 5: Solve for x
    x = 93,375,833.98/10,185.28
  6. Step 6: Final answer
    x = 9,167.72

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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.