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Finding the Fourth Proportional to 9,172.61, 12,658.68 and 5,194.09

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Solution

The fourth proportional to 9,172.61, 12,658.68 and 5,194.09 is: 7,168.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,172.61 : 12,658.68 = 5,194.09 : x
  2. Step 2: Convert to fraction form
    9,172.61/12,658.68 = 5,194.09/x
  3. Step 3: Cross multiply
    9,172.61x = 12,658.68 × 5,194.09
  4. Step 4: Simplify right side
    9,172.61x = 65,750,339.02
  5. Step 5: Solve for x
    x = 65,750,339.02/9,172.61
  6. Step 6: Final answer
    x = 7,168.12

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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.