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Finding the Fourth Proportional to 9,910.28, 13,649.91 and 7,384.30

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Solution

The fourth proportional to 9,910.28, 13,649.91 and 7,384.30 is: 10,170.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,910.28 : 13,649.91 = 7,384.30 : x
  2. Step 2: Convert to fraction form
    9,910.28/13,649.91 = 7,384.30/x
  3. Step 3: Cross multiply
    9,910.28x = 13,649.91 × 7,384.30
  4. Step 4: Simplify right side
    9,910.28x = 100,795,030.41
  5. Step 5: Solve for x
    x = 100,795,030.41/9,910.28
  6. Step 6: Final answer
    x = 10,170.76

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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.