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Finding the Fourth Proportional to 9,205.92, 12,704.28 and 5,014.20

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Solution

The fourth proportional to 9,205.92, 12,704.28 and 5,014.20 is: 6,919.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,205.92 : 12,704.28 = 5,014.20 : x
  2. Step 2: Convert to fraction form
    9,205.92/12,704.28 = 5,014.20/x
  3. Step 3: Cross multiply
    9,205.92x = 12,704.28 × 5,014.20
  4. Step 4: Simplify right side
    9,205.92x = 63,701,800.78
  5. Step 5: Solve for x
    x = 63,701,800.78/9,205.92
  6. Step 6: Final answer
    x = 6,919.66

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.