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Finding the Fourth Proportional to 6,954.01, 9,596.64 and 3,809.99

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Solution

The fourth proportional to 6,954.01, 9,596.64 and 3,809.99 is: 5,257.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,954.01 : 9,596.64 = 3,809.99 : x
  2. Step 2: Convert to fraction form
    6,954.01/9,596.64 = 3,809.99/x
  3. Step 3: Cross multiply
    6,954.01x = 9,596.64 × 3,809.99
  4. Step 4: Simplify right side
    6,954.01x = 36,563,140.71
  5. Step 5: Solve for x
    x = 36,563,140.71/6,954.01
  6. Step 6: Final answer
    x = 5,257.85

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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.