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Finding the Fourth Proportional to 6,975.03, 9,625.19 and 3,830.61

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Solution

The fourth proportional to 6,975.03, 9,625.19 and 3,830.61 is: 5,286.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,975.03 : 9,625.19 = 3,830.61 : x
  2. Step 2: Convert to fraction form
    6,975.03/9,625.19 = 3,830.61/x
  3. Step 3: Cross multiply
    6,975.03x = 9,625.19 × 3,830.61
  4. Step 4: Simplify right side
    6,975.03x = 36,870,329.91
  5. Step 5: Solve for x
    x = 36,870,329.91/6,975.03
  6. Step 6: Final answer
    x = 5,286.05

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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.