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Finding the Fourth Proportional to 9,604.38, 14,396.70 and 3,679.66

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Solution

The fourth proportional to 9,604.38, 14,396.70 and 3,679.66 is: 5,515.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,604.38 : 14,396.70 = 3,679.66 : x
  2. Step 2: Convert to fraction form
    9,604.38/14,396.70 = 3,679.66/x
  3. Step 3: Cross multiply
    9,604.38x = 14,396.70 × 3,679.66
  4. Step 4: Simplify right side
    9,604.38x = 52,974,889.83
  5. Step 5: Solve for x
    x = 52,974,889.83/9,604.38
  6. Step 6: Final answer
    x = 5,515.70

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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.