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Finding the Fourth Proportional to 9,476.73, 13,080.29 and 5,497.34

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Solution

The fourth proportional to 9,476.73, 13,080.29 and 5,497.34 is: 7,587.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,476.73 : 13,080.29 = 5,497.34 : x
  2. Step 2: Convert to fraction form
    9,476.73/13,080.29 = 5,497.34/x
  3. Step 3: Cross multiply
    9,476.73x = 13,080.29 × 5,497.34
  4. Step 4: Simplify right side
    9,476.73x = 71,906,708.54
  5. Step 5: Solve for x
    x = 71,906,708.54/9,476.73
  6. Step 6: Final answer
    x = 7,587.71

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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.