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Finding the Fourth Proportional to 9,389.72, 12,957.71 and 5,197.97

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Solution

The fourth proportional to 9,389.72, 12,957.71 and 5,197.97 is: 7,173.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,389.72 : 12,957.71 = 5,197.97 : x
  2. Step 2: Convert to fraction form
    9,389.72/12,957.71 = 5,197.97/x
  3. Step 3: Cross multiply
    9,389.72x = 12,957.71 × 5,197.97
  4. Step 4: Simplify right side
    9,389.72x = 67,353,794.25
  5. Step 5: Solve for x
    x = 67,353,794.25/9,389.72
  6. Step 6: Final answer
    x = 7,173.14

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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.