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Finding the Fourth Proportional to 9,083.14, 12,536.17 and 5,308.54

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Solution

The fourth proportional to 9,083.14, 12,536.17 and 5,308.54 is: 7,326.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,083.14 : 12,536.17 = 5,308.54 : x
  2. Step 2: Convert to fraction form
    9,083.14/12,536.17 = 5,308.54/x
  3. Step 3: Cross multiply
    9,083.14x = 12,536.17 × 5,308.54
  4. Step 4: Simplify right side
    9,083.14x = 66,548,715.28
  5. Step 5: Solve for x
    x = 66,548,715.28/9,083.14
  6. Step 6: Final answer
    x = 7,326.62

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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.