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Finding the Fourth Proportional to 9,965.97, 13,753.80 and 5,775.03

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Solution

The fourth proportional to 9,965.97, 13,753.80 and 5,775.03 is: 7,969.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,965.97 : 13,753.80 = 5,775.03 : x
  2. Step 2: Convert to fraction form
    9,965.97/13,753.80 = 5,775.03/x
  3. Step 3: Cross multiply
    9,965.97x = 13,753.80 × 5,775.03
  4. Step 4: Simplify right side
    9,965.97x = 79,428,607.61
  5. Step 5: Solve for x
    x = 79,428,607.61/9,965.97
  6. Step 6: Final answer
    x = 7,969.98

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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.