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Finding the Fourth Proportional to 6,905.19, 9,529.17 and 3,761.38

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Solution

The fourth proportional to 6,905.19, 9,529.17 and 3,761.38 is: 5,190.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,905.19 : 9,529.17 = 3,761.38 : x
  2. Step 2: Convert to fraction form
    6,905.19/9,529.17 = 3,761.38/x
  3. Step 3: Cross multiply
    6,905.19x = 9,529.17 × 3,761.38
  4. Step 4: Simplify right side
    6,905.19x = 35,842,781.81
  5. Step 5: Solve for x
    x = 35,842,781.81/6,905.19
  6. Step 6: Final answer
    x = 5,190.70

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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.