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Finding the Fourth Proportional to 9,249.92, 12,764.95 and 5,000.98

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Solution

The fourth proportional to 9,249.92, 12,764.95 and 5,000.98 is: 6,901.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,249.92 : 12,764.95 = 5,000.98 : x
  2. Step 2: Convert to fraction form
    9,249.92/12,764.95 = 5,000.98/x
  3. Step 3: Cross multiply
    9,249.92x = 12,764.95 × 5,000.98
  4. Step 4: Simplify right side
    9,249.92x = 63,837,195.83
  5. Step 5: Solve for x
    x = 63,837,195.83/9,249.92
  6. Step 6: Final answer
    x = 6,901.38

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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.