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Finding the Fourth Proportional to 9,401.54, 14,103.02 and 3,161.57

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Solution

The fourth proportional to 9,401.54, 14,103.02 and 3,161.57 is: 4,742.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,401.54 : 14,103.02 = 3,161.57 : x
  2. Step 2: Convert to fraction form
    9,401.54/14,103.02 = 3,161.57/x
  3. Step 3: Cross multiply
    9,401.54x = 14,103.02 × 3,161.57
  4. Step 4: Simplify right side
    9,401.54x = 44,587,728.10
  5. Step 5: Solve for x
    x = 44,587,728.10/9,401.54
  6. Step 6: Final answer
    x = 4,742.60

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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.