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Finding the Fourth Proportional to 9,172.72, 12,658.52 and 5,194.66

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Solution

The fourth proportional to 9,172.72, 12,658.52 and 5,194.66 is: 7,168.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,172.72 : 12,658.52 = 5,194.66 : x
  2. Step 2: Convert to fraction form
    9,172.72/12,658.52 = 5,194.66/x
  3. Step 3: Cross multiply
    9,172.72x = 12,658.52 × 5,194.66
  4. Step 4: Simplify right side
    9,172.72x = 65,756,640.45
  5. Step 5: Solve for x
    x = 65,756,640.45/9,172.72
  6. Step 6: Final answer
    x = 7,168.72

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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.