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Finding the Fourth Proportional to 6,265.80, 9,394.92 and 2,369.28

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Solution

The fourth proportional to 6,265.80, 9,394.92 and 2,369.28 is: 3,552.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,265.80 : 9,394.92 = 2,369.28 : x
  2. Step 2: Convert to fraction form
    6,265.80/9,394.92 = 2,369.28/x
  3. Step 3: Cross multiply
    6,265.80x = 9,394.92 × 2,369.28
  4. Step 4: Simplify right side
    6,265.80x = 22,259,196.06
  5. Step 5: Solve for x
    x = 22,259,196.06/6,265.80
  6. Step 6: Final answer
    x = 3,552.49

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.