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Finding the Fourth Proportional to 9,981.84, 13,786.08 and 7,770.32

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Solution

The fourth proportional to 9,981.84, 13,786.08 and 7,770.32 is: 10,731.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,981.84 : 13,786.08 = 7,770.32 : x
  2. Step 2: Convert to fraction form
    9,981.84/13,786.08 = 7,770.32/x
  3. Step 3: Cross multiply
    9,981.84x = 13,786.08 × 7,770.32
  4. Step 4: Simplify right side
    9,981.84x = 107,122,253.15
  5. Step 5: Solve for x
    x = 107,122,253.15/9,981.84
  6. Step 6: Final answer
    x = 10,731.71

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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.