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Finding the Fourth Proportional to 9,965.25, 13,754.48 and 5,775.93

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Solution

The fourth proportional to 9,965.25, 13,754.48 and 5,775.93 is: 7,972.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,965.25 : 13,754.48 = 5,775.93 : x
  2. Step 2: Convert to fraction form
    9,965.25/13,754.48 = 5,775.93/x
  3. Step 3: Cross multiply
    9,965.25x = 13,754.48 × 5,775.93
  4. Step 4: Simplify right side
    9,965.25x = 79,444,884.79
  5. Step 5: Solve for x
    x = 79,444,884.79/9,965.25
  6. Step 6: Final answer
    x = 7,972.19

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.