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Finding the Fourth Proportional to 9,476.48, 13,074.36 and 5,496.14

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Solution

The fourth proportional to 9,476.48, 13,074.36 and 5,496.14 is: 7,582.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,476.48 : 13,074.36 = 5,496.14 : x
  2. Step 2: Convert to fraction form
    9,476.48/13,074.36 = 5,496.14/x
  3. Step 3: Cross multiply
    9,476.48x = 13,074.36 × 5,496.14
  4. Step 4: Simplify right side
    9,476.48x = 71,858,512.97
  5. Step 5: Solve for x
    x = 71,858,512.97/9,476.48
  6. Step 6: Final answer
    x = 7,582.83

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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.