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Finding the Fourth Proportional to 9,397.46, 12,967.71 and 5,205.62

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Solution

The fourth proportional to 9,397.46, 12,967.71 and 5,205.62 is: 7,183.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,397.46 : 12,967.71 = 5,205.62 : x
  2. Step 2: Convert to fraction form
    9,397.46/12,967.71 = 5,205.62/x
  3. Step 3: Cross multiply
    9,397.46x = 12,967.71 × 5,205.62
  4. Step 4: Simplify right side
    9,397.46x = 67,504,970.53
  5. Step 5: Solve for x
    x = 67,504,970.53/9,397.46
  6. Step 6: Final answer
    x = 7,183.32

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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.