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Finding the Fourth Proportional to 6,401.97, 9,595.64 and 6,332.72

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Solution

The fourth proportional to 6,401.97, 9,595.64 and 6,332.72 is: 9,491.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,401.97 : 9,595.64 = 6,332.72 : x
  2. Step 2: Convert to fraction form
    6,401.97/9,595.64 = 6,332.72/x
  3. Step 3: Cross multiply
    6,401.97x = 9,595.64 × 6,332.72
  4. Step 4: Simplify right side
    6,401.97x = 60,766,469.19
  5. Step 5: Solve for x
    x = 60,766,469.19/6,401.97
  6. Step 6: Final answer
    x = 9,491.84

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