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Finding the Fourth Proportional to 9,501.72, 13,112.28 and 5,523

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Solution

The fourth proportional to 9,501.72, 13,112.28 and 5,523 is: 7,621.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,501.72 : 13,112.28 = 5,523 : x
  2. Step 2: Convert to fraction form
    9,501.72/13,112.28 = 5,523/x
  3. Step 3: Cross multiply
    9,501.72x = 13,112.28 × 5,523
  4. Step 4: Simplify right side
    9,501.72x = 72,419,122.44
  5. Step 5: Solve for x
    x = 72,419,122.44/9,501.72
  6. Step 6: Final answer
    x = 7,621.69

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.