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Finding the Fourth Proportional to 6,704.02, 9,252.66 and 3,909.52

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Solution

The fourth proportional to 6,704.02, 9,252.66 and 3,909.52 is: 5,395.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,704.02 : 9,252.66 = 3,909.52 : x
  2. Step 2: Convert to fraction form
    6,704.02/9,252.66 = 3,909.52/x
  3. Step 3: Cross multiply
    6,704.02x = 9,252.66 × 3,909.52
  4. Step 4: Simplify right side
    6,704.02x = 36,173,459.32
  5. Step 5: Solve for x
    x = 36,173,459.32/6,704.02
  6. Step 6: Final answer
    x = 5,395.79

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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.