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Finding the Fourth Proportional to 9,198.91, 12,690.28 and 5,420.26

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Solution

The fourth proportional to 9,198.91, 12,690.28 and 5,420.26 is: 7,477.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,198.91 : 12,690.28 = 5,420.26 : x
  2. Step 2: Convert to fraction form
    9,198.91/12,690.28 = 5,420.26/x
  3. Step 3: Cross multiply
    9,198.91x = 12,690.28 × 5,420.26
  4. Step 4: Simplify right side
    9,198.91x = 68,784,617.07
  5. Step 5: Solve for x
    x = 68,784,617.07/9,198.91
  6. Step 6: Final answer
    x = 7,477.47

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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.