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Finding the Fourth Proportional to 9,395.84, 12,966.18 and 5,204

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Solution

The fourth proportional to 9,395.84, 12,966.18 and 5,204 is: 7,181.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,395.84 : 12,966.18 = 5,204 : x
  2. Step 2: Convert to fraction form
    9,395.84/12,966.18 = 5,204/x
  3. Step 3: Cross multiply
    9,395.84x = 12,966.18 × 5,204
  4. Step 4: Simplify right side
    9,395.84x = 67,476,000.72
  5. Step 5: Solve for x
    x = 67,476,000.72/9,395.84
  6. Step 6: Final answer
    x = 7,181.48

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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.