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Finding the Fourth Proportional to 9,297.86, 12,825.41 and 5,518.53

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Solution

The fourth proportional to 9,297.86, 12,825.41 and 5,518.53 is: 7,612.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,297.86 : 12,825.41 = 5,518.53 : x
  2. Step 2: Convert to fraction form
    9,297.86/12,825.41 = 5,518.53/x
  3. Step 3: Cross multiply
    9,297.86x = 12,825.41 × 5,518.53
  4. Step 4: Simplify right side
    9,297.86x = 70,777,382.25
  5. Step 5: Solve for x
    x = 70,777,382.25/9,297.86
  6. Step 6: Final answer
    x = 7,612.23

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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.