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Finding the Fourth Proportional to 9,904.24, 13,667.82 and 5,428.06

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Solution

The fourth proportional to 9,904.24, 13,667.82 and 5,428.06 is: 7,490.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,904.24 : 13,667.82 = 5,428.06 : x
  2. Step 2: Convert to fraction form
    9,904.24/13,667.82 = 5,428.06/x
  3. Step 3: Cross multiply
    9,904.24x = 13,667.82 × 5,428.06
  4. Step 4: Simplify right side
    9,904.24x = 74,189,747.03
  5. Step 5: Solve for x
    x = 74,189,747.03/9,904.24
  6. Step 6: Final answer
    x = 7,490.71

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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.