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Finding the Fourth Proportional to 9,172.16, 12,659.85 and 5,195.62

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Solution

The fourth proportional to 9,172.16, 12,659.85 and 5,195.62 is: 7,171.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,172.16 : 12,659.85 = 5,195.62 : x
  2. Step 2: Convert to fraction form
    9,172.16/12,659.85 = 5,195.62/x
  3. Step 3: Cross multiply
    9,172.16x = 12,659.85 × 5,195.62
  4. Step 4: Simplify right side
    9,172.16x = 65,775,800.29
  5. Step 5: Solve for x
    x = 65,775,800.29/9,172.16
  6. Step 6: Final answer
    x = 7,171.24

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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.