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Finding the Fourth Proportional to 9,395.78, 12,966.14 and 5,204.03

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Solution

The fourth proportional to 9,395.78, 12,966.14 and 5,204.03 is: 7,181.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,395.78 : 12,966.14 = 5,204.03 : x
  2. Step 2: Convert to fraction form
    9,395.78/12,966.14 = 5,204.03/x
  3. Step 3: Cross multiply
    9,395.78x = 12,966.14 × 5,204.03
  4. Step 4: Simplify right side
    9,395.78x = 67,476,129.72
  5. Step 5: Solve for x
    x = 67,476,129.72/9,395.78
  6. Step 6: Final answer
    x = 7,181.54

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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.