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Finding the Fourth Proportional to 6,953.83, 9,596.26 and 3,809.95

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Solution

The fourth proportional to 6,953.83, 9,596.26 and 3,809.95 is: 5,257.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,953.83 : 9,596.26 = 3,809.95 : x
  2. Step 2: Convert to fraction form
    6,953.83/9,596.26 = 3,809.95/x
  3. Step 3: Cross multiply
    6,953.83x = 9,596.26 × 3,809.95
  4. Step 4: Simplify right side
    6,953.83x = 36,561,270.79
  5. Step 5: Solve for x
    x = 36,561,270.79/6,953.83
  6. Step 6: Final answer
    x = 5,257.72

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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.