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Finding the Fourth Proportional to 7,164.72, 9,886.43 and 4,181.28

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Solution

The fourth proportional to 7,164.72, 9,886.43 and 4,181.28 is: 5,769.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,164.72 : 9,886.43 = 4,181.28 : x
  2. Step 2: Convert to fraction form
    7,164.72/9,886.43 = 4,181.28/x
  3. Step 3: Cross multiply
    7,164.72x = 9,886.43 × 4,181.28
  4. Step 4: Simplify right side
    7,164.72x = 41,337,932.03
  5. Step 5: Solve for x
    x = 41,337,932.03/7,164.72
  6. Step 6: Final answer
    x = 5,769.65

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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.