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Finding the Fourth Proportional to 9,088, 13,632 and 2,932

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Solution

The fourth proportional to 9,088, 13,632 and 2,932 is: 4,398

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,088 : 13,632 = 2,932 : x
  2. Step 2: Convert to fraction form
    9,088/13,632 = 2,932/x
  3. Step 3: Cross multiply
    9,088x = 13,632 × 2,932
  4. Step 4: Simplify right side
    9,088x = 39,969,024
  5. Step 5: Solve for x
    x = 39,969,024/9,088
  6. Step 6: Final answer
    x = 4,398

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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.