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Finding the Fourth Proportional to 9,513.86, 13,128.02 and 5,481.27

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Solution

The fourth proportional to 9,513.86, 13,128.02 and 5,481.27 is: 7,563.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,513.86 : 13,128.02 = 5,481.27 : x
  2. Step 2: Convert to fraction form
    9,513.86/13,128.02 = 5,481.27/x
  3. Step 3: Cross multiply
    9,513.86x = 13,128.02 × 5,481.27
  4. Step 4: Simplify right side
    9,513.86x = 71,958,246.17
  5. Step 5: Solve for x
    x = 71,958,246.17/9,513.86
  6. Step 6: Final answer
    x = 7,563.52

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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.