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Finding the Fourth Proportional to 9,611.92, 14,418.02 and 4,064.57

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Solution

The fourth proportional to 9,611.92, 14,418.02 and 4,064.57 is: 6,096.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,611.92 : 14,418.02 = 4,064.57 : x
  2. Step 2: Convert to fraction form
    9,611.92/14,418.02 = 4,064.57/x
  3. Step 3: Cross multiply
    9,611.92x = 14,418.02 × 4,064.57
  4. Step 4: Simplify right side
    9,611.92x = 58,603,051.55
  5. Step 5: Solve for x
    x = 58,603,051.55/9,611.92
  6. Step 6: Final answer
    x = 6,096.91

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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.