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Finding the Fourth Proportional to 6,319.65, 9,465.12 and 3,849.03

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Solution

The fourth proportional to 6,319.65, 9,465.12 and 3,849.03 is: 5,764.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,319.65 : 9,465.12 = 3,849.03 : x
  2. Step 2: Convert to fraction form
    6,319.65/9,465.12 = 3,849.03/x
  3. Step 3: Cross multiply
    6,319.65x = 9,465.12 × 3,849.03
  4. Step 4: Simplify right side
    6,319.65x = 36,431,530.83
  5. Step 5: Solve for x
    x = 36,431,530.83/6,319.65
  6. Step 6: Final answer
    x = 5,764.80

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.