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Finding the Fourth Proportional to 6,396.17, 9,605.02 and 4,178.79

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Solution

The fourth proportional to 6,396.17, 9,605.02 and 4,178.79 is: 6,275.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,396.17 : 9,605.02 = 4,178.79 : x
  2. Step 2: Convert to fraction form
    6,396.17/9,605.02 = 4,178.79/x
  3. Step 3: Cross multiply
    6,396.17x = 9,605.02 × 4,178.79
  4. Step 4: Simplify right side
    6,396.17x = 40,137,370.67
  5. Step 5: Solve for x
    x = 40,137,370.67/6,396.17
  6. Step 6: Final answer
    x = 6,275.22

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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.