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Finding the Fourth Proportional to 9,476.78, 14,215.26 and 3,632

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Solution

The fourth proportional to 9,476.78, 14,215.26 and 3,632 is: 5,448.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,476.78 : 14,215.26 = 3,632 : x
  2. Step 2: Convert to fraction form
    9,476.78/14,215.26 = 3,632/x
  3. Step 3: Cross multiply
    9,476.78x = 14,215.26 × 3,632
  4. Step 4: Simplify right side
    9,476.78x = 51,629,824.32
  5. Step 5: Solve for x
    x = 51,629,824.32/9,476.78
  6. Step 6: Final answer
    x = 5,448.03

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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.