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Finding the Fourth Proportional to 9,198.90, 13,798.62 and 3,355.02

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Solution

The fourth proportional to 9,198.90, 13,798.62 and 3,355.02 is: 5,032.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,198.90 : 13,798.62 = 3,355.02 : x
  2. Step 2: Convert to fraction form
    9,198.90/13,798.62 = 3,355.02/x
  3. Step 3: Cross multiply
    9,198.90x = 13,798.62 × 3,355.02
  4. Step 4: Simplify right side
    9,198.90x = 46,294,646.07
  5. Step 5: Solve for x
    x = 46,294,646.07/9,198.90
  6. Step 6: Final answer
    x = 5,032.63

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.