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Finding the Fourth Proportional to 6,209.74, 8,569.39 and 3,693.77

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Solution

The fourth proportional to 6,209.74, 8,569.39 and 3,693.77 is: 5,097.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,209.74 : 8,569.39 = 3,693.77 : x
  2. Step 2: Convert to fraction form
    6,209.74/8,569.39 = 3,693.77/x
  3. Step 3: Cross multiply
    6,209.74x = 8,569.39 × 3,693.77
  4. Step 4: Simplify right side
    6,209.74x = 31,653,294.38
  5. Step 5: Solve for x
    x = 31,653,294.38/6,209.74
  6. Step 6: Final answer
    x = 5,097.37

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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.