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Finding the Fourth Proportional to 9,164.50, 13,725.98 and 5,832.76

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Solution

The fourth proportional to 9,164.50, 13,725.98 and 5,832.76 is: 8,735.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,164.50 : 13,725.98 = 5,832.76 : x
  2. Step 2: Convert to fraction form
    9,164.50/13,725.98 = 5,832.76/x
  3. Step 3: Cross multiply
    9,164.50x = 13,725.98 × 5,832.76
  4. Step 4: Simplify right side
    9,164.50x = 80,060,347.10
  5. Step 5: Solve for x
    x = 80,060,347.10/9,164.50
  6. Step 6: Final answer
    x = 8,735.92

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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.