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Finding the Fourth Proportional to 6,727.24, 9,259.14 and 5,729.32

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Solution

The fourth proportional to 6,727.24, 9,259.14 and 5,729.32 is: 7,885.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,727.24 : 9,259.14 = 5,729.32 : x
  2. Step 2: Convert to fraction form
    6,727.24/9,259.14 = 5,729.32/x
  3. Step 3: Cross multiply
    6,727.24x = 9,259.14 × 5,729.32
  4. Step 4: Simplify right side
    6,727.24x = 53,048,575.98
  5. Step 5: Solve for x
    x = 53,048,575.98/6,727.24
  6. Step 6: Final answer
    x = 7,885.64

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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.