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Finding the Fourth Proportional to 6,605.43, 9,923.63 and 6,231.81

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Solution

The fourth proportional to 6,605.43, 9,923.63 and 6,231.81 is: 9,362.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,605.43 : 9,923.63 = 6,231.81 : x
  2. Step 2: Convert to fraction form
    6,605.43/9,923.63 = 6,231.81/x
  3. Step 3: Cross multiply
    6,605.43x = 9,923.63 × 6,231.81
  4. Step 4: Simplify right side
    6,605.43x = 61,842,145.51
  5. Step 5: Solve for x
    x = 61,842,145.51/6,605.43
  6. Step 6: Final answer
    x = 9,362.32

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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.