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Finding the Fourth Proportional to 6,785.42, 9,363.38 and 4,133.68

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Solution

The fourth proportional to 6,785.42, 9,363.38 and 4,133.68 is: 5,704.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,785.42 : 9,363.38 = 4,133.68 : x
  2. Step 2: Convert to fraction form
    6,785.42/9,363.38 = 4,133.68/x
  3. Step 3: Cross multiply
    6,785.42x = 9,363.38 × 4,133.68
  4. Step 4: Simplify right side
    6,785.42x = 38,705,172.56
  5. Step 5: Solve for x
    x = 38,705,172.56/6,785.42
  6. Step 6: Final answer
    x = 5,704.17

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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.