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Finding the Fourth Proportional to 9,966.84, 13,753.44 and 5,775.36

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Solution

The fourth proportional to 9,966.84, 13,753.44 and 5,775.36 is: 7,969.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,966.84 : 13,753.44 = 5,775.36 : x
  2. Step 2: Convert to fraction form
    9,966.84/13,753.44 = 5,775.36/x
  3. Step 3: Cross multiply
    9,966.84x = 13,753.44 × 5,775.36
  4. Step 4: Simplify right side
    9,966.84x = 79,431,067.24
  5. Step 5: Solve for x
    x = 79,431,067.24/9,966.84
  6. Step 6: Final answer
    x = 7,969.53

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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.