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Finding the Fourth Proportional to 6,657.66, 9,187.84 and 3,824.99

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Solution

The fourth proportional to 6,657.66, 9,187.84 and 3,824.99 is: 5,278.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,657.66 : 9,187.84 = 3,824.99 : x
  2. Step 2: Convert to fraction form
    6,657.66/9,187.84 = 3,824.99/x
  3. Step 3: Cross multiply
    6,657.66x = 9,187.84 × 3,824.99
  4. Step 4: Simplify right side
    6,657.66x = 35,143,389.42
  5. Step 5: Solve for x
    x = 35,143,389.42/6,657.66
  6. Step 6: Final answer
    x = 5,278.64

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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.