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Finding the Fourth Proportional to 9,431.64, 13,016.04 and 5,239.89

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Solution

The fourth proportional to 9,431.64, 13,016.04 and 5,239.89 is: 7,231.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,431.64 : 13,016.04 = 5,239.89 : x
  2. Step 2: Convert to fraction form
    9,431.64/13,016.04 = 5,239.89/x
  3. Step 3: Cross multiply
    9,431.64x = 13,016.04 × 5,239.89
  4. Step 4: Simplify right side
    9,431.64x = 68,202,617.84
  5. Step 5: Solve for x
    x = 68,202,617.84/9,431.64
  6. Step 6: Final answer
    x = 7,231.26

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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.