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Finding the Fourth Proportional to 6,567.38, 9,062.84 and 3,733.39

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Solution

The fourth proportional to 6,567.38, 9,062.84 and 3,733.39 is: 5,152.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,567.38 : 9,062.84 = 3,733.39 : x
  2. Step 2: Convert to fraction form
    6,567.38/9,062.84 = 3,733.39/x
  3. Step 3: Cross multiply
    6,567.38x = 9,062.84 × 3,733.39
  4. Step 4: Simplify right side
    6,567.38x = 33,835,115.89
  5. Step 5: Solve for x
    x = 33,835,115.89/6,567.38
  6. Step 6: Final answer
    x = 5,152.00

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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.