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Finding the Fourth Proportional to 6,655.72, 9,184.74 and 3,824.02

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Solution

The fourth proportional to 6,655.72, 9,184.74 and 3,824.02 is: 5,277.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,655.72 : 9,184.74 = 3,824.02 : x
  2. Step 2: Convert to fraction form
    6,655.72/9,184.74 = 3,824.02/x
  3. Step 3: Cross multiply
    6,655.72x = 9,184.74 × 3,824.02
  4. Step 4: Simplify right side
    6,655.72x = 35,122,629.45
  5. Step 5: Solve for x
    x = 35,122,629.45/6,655.72
  6. Step 6: Final answer
    x = 5,277.06

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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.