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Finding the Fourth Proportional to 9,206.05, 12,704.35 and 5,014.30

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Solution

The fourth proportional to 9,206.05, 12,704.35 and 5,014.30 is: 6,919.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,206.05 : 12,704.35 = 5,014.30 : x
  2. Step 2: Convert to fraction form
    9,206.05/12,704.35 = 5,014.30/x
  3. Step 3: Cross multiply
    9,206.05x = 12,704.35 × 5,014.30
  4. Step 4: Simplify right side
    9,206.05x = 63,703,422.21
  5. Step 5: Solve for x
    x = 63,703,422.21/9,206.05
  6. Step 6: Final answer
    x = 6,919.73

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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.