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Finding the Fourth Proportional to 9,910.12, 13,677.80 and 6,765.16

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Solution

The fourth proportional to 9,910.12, 13,677.80 and 6,765.16 is: 9,337.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,910.12 : 13,677.80 = 6,765.16 : x
  2. Step 2: Convert to fraction form
    9,910.12/13,677.80 = 6,765.16/x
  3. Step 3: Cross multiply
    9,910.12x = 13,677.80 × 6,765.16
  4. Step 4: Simplify right side
    9,910.12x = 92,532,505.45
  5. Step 5: Solve for x
    x = 92,532,505.45/9,910.12
  6. Step 6: Final answer
    x = 9,337.17

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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.