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Finding the Fourth Proportional to 7,254.78, 9,997.56 and 4,892.82

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Solution

The fourth proportional to 7,254.78, 9,997.56 and 4,892.82 is: 6,742.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,254.78 : 9,997.56 = 4,892.82 : x
  2. Step 2: Convert to fraction form
    7,254.78/9,997.56 = 4,892.82/x
  3. Step 3: Cross multiply
    7,254.78x = 9,997.56 × 4,892.82
  4. Step 4: Simplify right side
    7,254.78x = 48,916,261.52
  5. Step 5: Solve for x
    x = 48,916,261.52/7,254.78
  6. Step 6: Final answer
    x = 6,742.63

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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.