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Finding the Fourth Proportional to 6,365.23, 9,545.50 and 2,204.17

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Solution

The fourth proportional to 6,365.23, 9,545.50 and 2,204.17 is: 3,305.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,365.23 : 9,545.50 = 2,204.17 : x
  2. Step 2: Convert to fraction form
    6,365.23/9,545.50 = 2,204.17/x
  3. Step 3: Cross multiply
    6,365.23x = 9,545.50 × 2,204.17
  4. Step 4: Simplify right side
    6,365.23x = 21,039,904.74
  5. Step 5: Solve for x
    x = 21,039,904.74/6,365.23
  6. Step 6: Final answer
    x = 3,305.44

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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.