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Finding the Fourth Proportional to 7,245.17, 9,997.71 and 4,219.82

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Solution

The fourth proportional to 7,245.17, 9,997.71 and 4,219.82 is: 5,822.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,245.17 : 9,997.71 = 4,219.82 : x
  2. Step 2: Convert to fraction form
    7,245.17/9,997.71 = 4,219.82/x
  3. Step 3: Cross multiply
    7,245.17x = 9,997.71 × 4,219.82
  4. Step 4: Simplify right side
    7,245.17x = 42,188,536.61
  5. Step 5: Solve for x
    x = 42,188,536.61/7,245.17
  6. Step 6: Final answer
    x = 5,822.99

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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.