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Finding the Fourth Proportional to 6,500.15, 8,967.32 and 3,846.03

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Solution

The fourth proportional to 6,500.15, 8,967.32 and 3,846.03 is: 5,305.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,500.15 : 8,967.32 = 3,846.03 : x
  2. Step 2: Convert to fraction form
    6,500.15/8,967.32 = 3,846.03/x
  3. Step 3: Cross multiply
    6,500.15x = 8,967.32 × 3,846.03
  4. Step 4: Simplify right side
    6,500.15x = 34,488,615.38
  5. Step 5: Solve for x
    x = 34,488,615.38/6,500.15
  6. Step 6: Final answer
    x = 5,305.82

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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.