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Finding the Fourth Proportional to 9,164, 12,649.44 and 6,177.92

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Solution

The fourth proportional to 9,164, 12,649.44 and 6,177.92 is: 8,527.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,164 : 12,649.44 = 6,177.92 : x
  2. Step 2: Convert to fraction form
    9,164/12,649.44 = 6,177.92/x
  3. Step 3: Cross multiply
    9,164x = 12,649.44 × 6,177.92
  4. Step 4: Simplify right side
    9,164x = 78,147,228.36
  5. Step 5: Solve for x
    x = 78,147,228.36/9,164
  6. Step 6: Final answer
    x = 8,527.63

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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.