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Finding the Fourth Proportional to 9,397, 14,097.66 and 3,241

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Solution

The fourth proportional to 9,397, 14,097.66 and 3,241 is: 4,862.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,397 : 14,097.66 = 3,241 : x
  2. Step 2: Convert to fraction form
    9,397/14,097.66 = 3,241/x
  3. Step 3: Cross multiply
    9,397x = 14,097.66 × 3,241
  4. Step 4: Simplify right side
    9,397x = 45,690,516.06
  5. Step 5: Solve for x
    x = 45,690,516.06/9,397
  6. Step 6: Final answer
    x = 4,862.24

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.