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Finding the Fourth Proportional to 9,473.66, 13,072.92 and 5,224.08

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Solution

The fourth proportional to 9,473.66, 13,072.92 and 5,224.08 is: 7,208.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,473.66 : 13,072.92 = 5,224.08 : x
  2. Step 2: Convert to fraction form
    9,473.66/13,072.92 = 5,224.08/x
  3. Step 3: Cross multiply
    9,473.66x = 13,072.92 × 5,224.08
  4. Step 4: Simplify right side
    9,473.66x = 68,293,979.91
  5. Step 5: Solve for x
    x = 68,293,979.91/9,473.66
  6. Step 6: Final answer
    x = 7,208.83

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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.