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Finding the Fourth Proportional to 9,977.84, 13,770.60 and 5,786.24

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Solution

The fourth proportional to 9,977.84, 13,770.60 and 5,786.24 is: 7,985.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,977.84 : 13,770.60 = 5,786.24 : x
  2. Step 2: Convert to fraction form
    9,977.84/13,770.60 = 5,786.24/x
  3. Step 3: Cross multiply
    9,977.84x = 13,770.60 × 5,786.24
  4. Step 4: Simplify right side
    9,977.84x = 79,679,996.54
  5. Step 5: Solve for x
    x = 79,679,996.54/9,977.84
  6. Step 6: Final answer
    x = 7,985.70

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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.