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Finding the Fourth Proportional to 6,009.36, 9,016.32 and 2,545.68

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Solution

The fourth proportional to 6,009.36, 9,016.32 and 2,545.68 is: 3,819.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,009.36 : 9,016.32 = 2,545.68 : x
  2. Step 2: Convert to fraction form
    6,009.36/9,016.32 = 2,545.68/x
  3. Step 3: Cross multiply
    6,009.36x = 9,016.32 × 2,545.68
  4. Step 4: Simplify right side
    6,009.36x = 22,952,665.50
  5. Step 5: Solve for x
    x = 22,952,665.50/6,009.36
  6. Step 6: Final answer
    x = 3,819.49

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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.