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Finding the Fourth Proportional to 9,476.89, 13,076.10 and 5,497.49

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Solution

The fourth proportional to 9,476.89, 13,076.10 and 5,497.49 is: 7,585.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,476.89 : 13,076.10 = 5,497.49 : x
  2. Step 2: Convert to fraction form
    9,476.89/13,076.10 = 5,497.49/x
  3. Step 3: Cross multiply
    9,476.89x = 13,076.10 × 5,497.49
  4. Step 4: Simplify right side
    9,476.89x = 71,885,761.68
  5. Step 5: Solve for x
    x = 71,885,761.68/9,476.89
  6. Step 6: Final answer
    x = 7,585.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.