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Finding the Fourth Proportional to 9,441.81, 14,164.40 and 3,892.13

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Solution

The fourth proportional to 9,441.81, 14,164.40 and 3,892.13 is: 5,838.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,441.81 : 14,164.40 = 3,892.13 : x
  2. Step 2: Convert to fraction form
    9,441.81/14,164.40 = 3,892.13/x
  3. Step 3: Cross multiply
    9,441.81x = 14,164.40 × 3,892.13
  4. Step 4: Simplify right side
    9,441.81x = 55,129,678.20
  5. Step 5: Solve for x
    x = 55,129,678.20/9,441.81
  6. Step 6: Final answer
    x = 5,838.89

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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.