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Finding the Fourth Proportional to 9,965.28, 13,754.52 and 5,775.96

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Solution

The fourth proportional to 9,965.28, 13,754.52 and 5,775.96 is: 7,972.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,965.28 : 13,754.52 = 5,775.96 : x
  2. Step 2: Convert to fraction form
    9,965.28/13,754.52 = 5,775.96/x
  3. Step 3: Cross multiply
    9,965.28x = 13,754.52 × 5,775.96
  4. Step 4: Simplify right side
    9,965.28x = 79,445,557.34
  5. Step 5: Solve for x
    x = 79,445,557.34/9,965.28
  6. Step 6: Final answer
    x = 7,972.24

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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.