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Finding the Fourth Proportional to 9,418.24, 12,997.44 and 5,385.74

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Solution

The fourth proportional to 9,418.24, 12,997.44 and 5,385.74 is: 7,432.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,418.24 : 12,997.44 = 5,385.74 : x
  2. Step 2: Convert to fraction form
    9,418.24/12,997.44 = 5,385.74/x
  3. Step 3: Cross multiply
    9,418.24x = 12,997.44 × 5,385.74
  4. Step 4: Simplify right side
    9,418.24x = 70,000,900.69
  5. Step 5: Solve for x
    x = 70,000,900.69/9,418.24
  6. Step 6: Final answer
    x = 7,432.48

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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.