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Finding the Fourth Proportional to 9,206.21, 12,704.04 and 5,429.53

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Solution

The fourth proportional to 9,206.21, 12,704.04 and 5,429.53 is: 7,492.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,206.21 : 12,704.04 = 5,429.53 : x
  2. Step 2: Convert to fraction form
    9,206.21/12,704.04 = 5,429.53/x
  3. Step 3: Cross multiply
    9,206.21x = 12,704.04 × 5,429.53
  4. Step 4: Simplify right side
    9,206.21x = 68,976,982.18
  5. Step 5: Solve for x
    x = 68,976,982.18/9,206.21
  6. Step 6: Final answer
    x = 7,492.44

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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.