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Finding the Fourth Proportional to 9,206, 12,704.32 and 5,014.32

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Solution

The fourth proportional to 9,206, 12,704.32 and 5,014.32 is: 6,919.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,206 : 12,704.32 = 5,014.32 : x
  2. Step 2: Convert to fraction form
    9,206/12,704.32 = 5,014.32/x
  3. Step 3: Cross multiply
    9,206x = 12,704.32 × 5,014.32
  4. Step 4: Simplify right side
    9,206x = 63,703,525.86
  5. Step 5: Solve for x
    x = 63,703,525.86/9,206
  6. Step 6: Final answer
    x = 6,919.78

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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.