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Finding the Fourth Proportional to 6,733.47, 9,290.77 and 3,900.67

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Solution

The fourth proportional to 6,733.47, 9,290.77 and 3,900.67 is: 5,382.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,733.47 : 9,290.77 = 3,900.67 : x
  2. Step 2: Convert to fraction form
    6,733.47/9,290.77 = 3,900.67/x
  3. Step 3: Cross multiply
    6,733.47x = 9,290.77 × 3,900.67
  4. Step 4: Simplify right side
    6,733.47x = 36,240,227.82
  5. Step 5: Solve for x
    x = 36,240,227.82/6,733.47
  6. Step 6: Final answer
    x = 5,382.10

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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.