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Finding the Fourth Proportional to 9,079.72, 13,600.42 and 4,153.50

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Solution

The fourth proportional to 9,079.72, 13,600.42 and 4,153.50 is: 6,221.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,079.72 : 13,600.42 = 4,153.50 : x
  2. Step 2: Convert to fraction form
    9,079.72/13,600.42 = 4,153.50/x
  3. Step 3: Cross multiply
    9,079.72x = 13,600.42 × 4,153.50
  4. Step 4: Simplify right side
    9,079.72x = 56,489,334.09
  5. Step 5: Solve for x
    x = 56,489,334.09/9,079.72
  6. Step 6: Final answer
    x = 6,221.49

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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.