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Finding the Fourth Proportional to 6,164.32, 9,242.96 and 3,666.56

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Solution

The fourth proportional to 6,164.32, 9,242.96 and 3,666.56 is: 5,497.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,164.32 : 9,242.96 = 3,666.56 : x
  2. Step 2: Convert to fraction form
    6,164.32/9,242.96 = 3,666.56/x
  3. Step 3: Cross multiply
    6,164.32x = 9,242.96 × 3,666.56
  4. Step 4: Simplify right side
    6,164.32x = 33,889,867.42
  5. Step 5: Solve for x
    x = 33,889,867.42/6,164.32
  6. Step 6: Final answer
    x = 5,497.75

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.