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Finding the Fourth Proportional to 9,632, 14,448.06 and 3,476

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Solution

The fourth proportional to 9,632, 14,448.06 and 3,476 is: 5,214.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,632 : 14,448.06 = 3,476 : x
  2. Step 2: Convert to fraction form
    9,632/14,448.06 = 3,476/x
  3. Step 3: Cross multiply
    9,632x = 14,448.06 × 3,476
  4. Step 4: Simplify right side
    9,632x = 50,221,456.56
  5. Step 5: Solve for x
    x = 50,221,456.56/9,632
  6. Step 6: Final answer
    x = 5,214.02

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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.