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Finding the Fourth Proportional to 9,689.37, 14,535.75 and 3,449.23

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Solution

The fourth proportional to 9,689.37, 14,535.75 and 3,449.23 is: 5,174.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,689.37 : 14,535.75 = 3,449.23 : x
  2. Step 2: Convert to fraction form
    9,689.37/14,535.75 = 3,449.23/x
  3. Step 3: Cross multiply
    9,689.37x = 14,535.75 × 3,449.23
  4. Step 4: Simplify right side
    9,689.37x = 50,137,203.33
  5. Step 5: Solve for x
    x = 50,137,203.33/9,689.37
  6. Step 6: Final answer
    x = 5,174.45

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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.