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Finding the Fourth Proportional to 9,604.61, 14,397.04 and 3,679.89

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Solution

The fourth proportional to 9,604.61, 14,397.04 and 3,679.89 is: 5,516.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,604.61 : 14,397.04 = 3,679.89 : x
  2. Step 2: Convert to fraction form
    9,604.61/14,397.04 = 3,679.89/x
  3. Step 3: Cross multiply
    9,604.61x = 14,397.04 × 3,679.89
  4. Step 4: Simplify right side
    9,604.61x = 52,979,433.14
  5. Step 5: Solve for x
    x = 52,979,433.14/9,604.61
  6. Step 6: Final answer
    x = 5,516.04

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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.