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Finding the Fourth Proportional to 9,643.46, 14,467.41 and 3,403.42

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Solution

The fourth proportional to 9,643.46, 14,467.41 and 3,403.42 is: 5,105.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,643.46 : 14,467.41 = 3,403.42 : x
  2. Step 2: Convert to fraction form
    9,643.46/14,467.41 = 3,403.42/x
  3. Step 3: Cross multiply
    9,643.46x = 14,467.41 × 3,403.42
  4. Step 4: Simplify right side
    9,643.46x = 49,238,636.37
  5. Step 5: Solve for x
    x = 49,238,636.37/9,643.46
  6. Step 6: Final answer
    x = 5,105.91

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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.