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Finding the Fourth Proportional to 9,172.62, 12,656.12 and 5,192.87

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Solution

The fourth proportional to 9,172.62, 12,656.12 and 5,192.87 is: 7,164.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,172.62 : 12,656.12 = 5,192.87 : x
  2. Step 2: Convert to fraction form
    9,172.62/12,656.12 = 5,192.87/x
  3. Step 3: Cross multiply
    9,172.62x = 12,656.12 × 5,192.87
  4. Step 4: Simplify right side
    9,172.62x = 65,721,496.62
  5. Step 5: Solve for x
    x = 65,721,496.62/9,172.62
  6. Step 6: Final answer
    x = 7,164.96

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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.