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Finding the Fourth Proportional to 9,206.19, 12,704.51 and 5,014.44

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Solution

The fourth proportional to 9,206.19, 12,704.51 and 5,014.44 is: 6,919.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,206.19 : 12,704.51 = 5,014.44 : x
  2. Step 2: Convert to fraction form
    9,206.19/12,704.51 = 5,014.44/x
  3. Step 3: Cross multiply
    9,206.19x = 12,704.51 × 5,014.44
  4. Step 4: Simplify right side
    9,206.19x = 63,706,015.66
  5. Step 5: Solve for x
    x = 63,706,015.66/9,206.19
  6. Step 6: Final answer
    x = 6,919.91

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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.