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Finding the Fourth Proportional to 9,307, 13,960.50 and 2,381.50

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Solution

The fourth proportional to 9,307, 13,960.50 and 2,381.50 is: 3,572.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,307 : 13,960.50 = 2,381.50 : x
  2. Step 2: Convert to fraction form
    9,307/13,960.50 = 2,381.50/x
  3. Step 3: Cross multiply
    9,307x = 13,960.50 × 2,381.50
  4. Step 4: Simplify right side
    9,307x = 33,246,930.75
  5. Step 5: Solve for x
    x = 33,246,930.75/9,307
  6. Step 6: Final answer
    x = 3,572.25

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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.