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Finding the Fourth Proportional to 6,662.48, 9,194.00 and 4,009.39

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Solution

The fourth proportional to 6,662.48, 9,194.00 and 4,009.39 is: 5,532.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,662.48 : 9,194.00 = 4,009.39 : x
  2. Step 2: Convert to fraction form
    6,662.48/9,194.00 = 4,009.39/x
  3. Step 3: Cross multiply
    6,662.48x = 9,194.00 × 4,009.39
  4. Step 4: Simplify right side
    6,662.48x = 36,862,288.63
  5. Step 5: Solve for x
    x = 36,862,288.63/6,662.48
  6. Step 6: Final answer
    x = 5,532.82

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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.