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Finding the Fourth Proportional to 9,965.28, 13,751.58 and 5,488.94

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Solution

The fourth proportional to 9,965.28, 13,751.58 and 5,488.94 is: 7,574.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,965.28 : 13,751.58 = 5,488.94 : x
  2. Step 2: Convert to fraction form
    9,965.28/13,751.58 = 5,488.94/x
  3. Step 3: Cross multiply
    9,965.28x = 13,751.58 × 5,488.94
  4. Step 4: Simplify right side
    9,965.28x = 75,481,576.87
  5. Step 5: Solve for x
    x = 75,481,576.87/9,965.28
  6. Step 6: Final answer
    x = 7,574.45

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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.