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Finding the Fourth Proportional to 9,728, 14,592 and 2,432

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Solution

The fourth proportional to 9,728, 14,592 and 2,432 is: 3,648

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,728 : 14,592 = 2,432 : x
  2. Step 2: Convert to fraction form
    9,728/14,592 = 2,432/x
  3. Step 3: Cross multiply
    9,728x = 14,592 × 2,432
  4. Step 4: Simplify right side
    9,728x = 35,487,744
  5. Step 5: Solve for x
    x = 35,487,744/9,728
  6. Step 6: Final answer
    x = 3,648

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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.