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Finding the Fourth Proportional to 9,641.47, 14,464.38 and 3,401.54

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Solution

The fourth proportional to 9,641.47, 14,464.38 and 3,401.54 is: 5,103.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,641.47 : 14,464.38 = 3,401.54 : x
  2. Step 2: Convert to fraction form
    9,641.47/14,464.38 = 3,401.54/x
  3. Step 3: Cross multiply
    9,641.47x = 14,464.38 × 3,401.54
  4. Step 4: Simplify right side
    9,641.47x = 49,201,134.91
  5. Step 5: Solve for x
    x = 49,201,134.91/9,641.47
  6. Step 6: Final answer
    x = 5,103.07

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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.