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Finding the Fourth Proportional to 9,172.24, 12,657 and 5,192.44

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Solution

The fourth proportional to 9,172.24, 12,657 and 5,192.44 is: 7,165.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,172.24 : 12,657 = 5,192.44 : x
  2. Step 2: Convert to fraction form
    9,172.24/12,657 = 5,192.44/x
  3. Step 3: Cross multiply
    9,172.24x = 12,657 × 5,192.44
  4. Step 4: Simplify right side
    9,172.24x = 65,720,713.08
  5. Step 5: Solve for x
    x = 65,720,713.08/9,172.24
  6. Step 6: Final answer
    x = 7,165.18

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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.