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Finding the Fourth Proportional to 9,473.31, 13,072.55 and 5,224.14

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Solution

The fourth proportional to 9,473.31, 13,072.55 and 5,224.14 is: 7,208.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,473.31 : 13,072.55 = 5,224.14 : x
  2. Step 2: Convert to fraction form
    9,473.31/13,072.55 = 5,224.14/x
  3. Step 3: Cross multiply
    9,473.31x = 13,072.55 × 5,224.14
  4. Step 4: Simplify right side
    9,473.31x = 68,292,805.24
  5. Step 5: Solve for x
    x = 68,292,805.24/9,473.31
  6. Step 6: Final answer
    x = 7,208.97

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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.