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Finding the Fourth Proportional to 6,733.69, 9,293 and 3,901.83

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Solution

The fourth proportional to 6,733.69, 9,293 and 3,901.83 is: 5,384.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,733.69 : 9,293 = 3,901.83 : x
  2. Step 2: Convert to fraction form
    6,733.69/9,293 = 3,901.83/x
  3. Step 3: Cross multiply
    6,733.69x = 9,293 × 3,901.83
  4. Step 4: Simplify right side
    6,733.69x = 36,259,706.19
  5. Step 5: Solve for x
    x = 36,259,706.19/6,733.69
  6. Step 6: Final answer
    x = 5,384.82

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.