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Finding the Fourth Proportional to 6,733.32, 9,293.10 and 3,900.24

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Solution

The fourth proportional to 6,733.32, 9,293.10 and 3,900.24 is: 5,382.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,733.32 : 9,293.10 = 3,900.24 : x
  2. Step 2: Convert to fraction form
    6,733.32/9,293.10 = 3,900.24/x
  3. Step 3: Cross multiply
    6,733.32x = 9,293.10 × 3,900.24
  4. Step 4: Simplify right side
    6,733.32x = 36,245,320.34
  5. Step 5: Solve for x
    x = 36,245,320.34/6,733.32
  6. Step 6: Final answer
    x = 5,382.98

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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.