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Finding the Fourth Proportional to 9,205.98, 12,704.07 and 5,014.26

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Solution

The fourth proportional to 9,205.98, 12,704.07 and 5,014.26 is: 6,919.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,205.98 : 12,704.07 = 5,014.26 : x
  2. Step 2: Convert to fraction form
    9,205.98/12,704.07 = 5,014.26/x
  3. Step 3: Cross multiply
    9,205.98x = 12,704.07 × 5,014.26
  4. Step 4: Simplify right side
    9,205.98x = 63,701,510.04
  5. Step 5: Solve for x
    x = 63,701,510.04/9,205.98
  6. Step 6: Final answer
    x = 6,919.58

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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.