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Finding the Fourth Proportional to 9,642.41, 14,462.54 and 3,401.26

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Solution

The fourth proportional to 9,642.41, 14,462.54 and 3,401.26 is: 5,101.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,642.41 : 14,462.54 = 3,401.26 : x
  2. Step 2: Convert to fraction form
    9,642.41/14,462.54 = 3,401.26/x
  3. Step 3: Cross multiply
    9,642.41x = 14,462.54 × 3,401.26
  4. Step 4: Simplify right side
    9,642.41x = 49,190,805.64
  5. Step 5: Solve for x
    x = 49,190,805.64/9,642.41
  6. Step 6: Final answer
    x = 5,101.51

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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.