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Finding the Fourth Proportional to 6,633.30, 9,152.01 and 4,117.38

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Solution

The fourth proportional to 6,633.30, 9,152.01 and 4,117.38 is: 5,680.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,633.30 : 9,152.01 = 4,117.38 : x
  2. Step 2: Convert to fraction form
    6,633.30/9,152.01 = 4,117.38/x
  3. Step 3: Cross multiply
    6,633.30x = 9,152.01 × 4,117.38
  4. Step 4: Simplify right side
    6,633.30x = 37,682,302.93
  5. Step 5: Solve for x
    x = 37,682,302.93/6,633.30
  6. Step 6: Final answer
    x = 5,680.78

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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.