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Finding the Fourth Proportional to 9,232, 13,848 and 3,760

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Solution

The fourth proportional to 9,232, 13,848 and 3,760 is: 5,640

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,232 : 13,848 = 3,760 : x
  2. Step 2: Convert to fraction form
    9,232/13,848 = 3,760/x
  3. Step 3: Cross multiply
    9,232x = 13,848 × 3,760
  4. Step 4: Simplify right side
    9,232x = 52,068,480
  5. Step 5: Solve for x
    x = 52,068,480/9,232
  6. Step 6: Final answer
    x = 5,640

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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.