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Finding the Fourth Proportional to 9,172.91, 12,658.36 and 5,194.40

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Solution

The fourth proportional to 9,172.91, 12,658.36 and 5,194.40 is: 7,168.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,172.91 : 12,658.36 = 5,194.40 : x
  2. Step 2: Convert to fraction form
    9,172.91/12,658.36 = 5,194.40/x
  3. Step 3: Cross multiply
    9,172.91x = 12,658.36 × 5,194.40
  4. Step 4: Simplify right side
    9,172.91x = 65,752,585.18
  5. Step 5: Solve for x
    x = 65,752,585.18/9,172.91
  6. Step 6: Final answer
    x = 7,168.13

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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.