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Finding the Fourth Proportional to 9,172.82, 12,657.24 and 5,393.76

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Solution

The fourth proportional to 9,172.82, 12,657.24 and 5,393.76 is: 7,442.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,172.82 : 12,657.24 = 5,393.76 : x
  2. Step 2: Convert to fraction form
    9,172.82/12,657.24 = 5,393.76/x
  3. Step 3: Cross multiply
    9,172.82x = 12,657.24 × 5,393.76
  4. Step 4: Simplify right side
    9,172.82x = 68,270,114.82
  5. Step 5: Solve for x
    x = 68,270,114.82/9,172.82
  6. Step 6: Final answer
    x = 7,442.66

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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.