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Finding the Fourth Proportional to 6,953.73, 9,596.13 and 3,809.93

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Solution

The fourth proportional to 6,953.73, 9,596.13 and 3,809.93 is: 5,257.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,953.73 : 9,596.13 = 3,809.93 : x
  2. Step 2: Convert to fraction form
    6,953.73/9,596.13 = 3,809.93/x
  3. Step 3: Cross multiply
    6,953.73x = 9,596.13 × 3,809.93
  4. Step 4: Simplify right side
    6,953.73x = 36,560,535.59
  5. Step 5: Solve for x
    x = 36,560,535.59/6,953.73
  6. Step 6: Final answer
    x = 5,257.69

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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.