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Finding the Fourth Proportional to 6,401.67, 9,595.97 and 4,063.40

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Solution

The fourth proportional to 6,401.67, 9,595.97 and 4,063.40 is: 6,090.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,401.67 : 9,595.97 = 4,063.40 : x
  2. Step 2: Convert to fraction form
    6,401.67/9,595.97 = 4,063.40/x
  3. Step 3: Cross multiply
    6,401.67x = 9,595.97 × 4,063.40
  4. Step 4: Simplify right side
    6,401.67x = 38,992,247.42
  5. Step 5: Solve for x
    x = 38,992,247.42/6,401.67
  6. Step 6: Final answer
    x = 6,090.95

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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.