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Finding the Fourth Proportional to 35,464.34, 53,198.34 and 9,169.31

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Solution

The fourth proportional to 35,464.34, 53,198.34 and 9,169.31 is: 13,754.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,464.34 : 53,198.34 = 9,169.31 : x
  2. Step 2: Convert to fraction form
    35,464.34/53,198.34 = 9,169.31/x
  3. Step 3: Cross multiply
    35,464.34x = 53,198.34 × 9,169.31
  4. Step 4: Simplify right side
    35,464.34x = 487,792,025.10
  5. Step 5: Solve for x
    x = 487,792,025.10/35,464.34
  6. Step 6: Final answer
    x = 13,754.44

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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.