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Finding the Fourth Proportional to 9,799.38, 13,513.93 and 7,557.71

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Solution

The fourth proportional to 9,799.38, 13,513.93 and 7,557.71 is: 10,422.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,799.38 : 13,513.93 = 7,557.71 : x
  2. Step 2: Convert to fraction form
    9,799.38/13,513.93 = 7,557.71/x
  3. Step 3: Cross multiply
    9,799.38x = 13,513.93 × 7,557.71
  4. Step 4: Simplify right side
    9,799.38x = 102,134,296.33
  5. Step 5: Solve for x
    x = 102,134,296.33/9,799.38
  6. Step 6: Final answer
    x = 10,422.53

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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.