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Finding the Fourth Proportional to 9,401.25, 14,108.66 and 7,574.43

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Solution

The fourth proportional to 9,401.25, 14,108.66 and 7,574.43 is: 11,367.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,401.25 : 14,108.66 = 7,574.43 : x
  2. Step 2: Convert to fraction form
    9,401.25/14,108.66 = 7,574.43/x
  3. Step 3: Cross multiply
    9,401.25x = 14,108.66 × 7,574.43
  4. Step 4: Simplify right side
    9,401.25x = 106,865,019.69
  5. Step 5: Solve for x
    x = 106,865,019.69/9,401.25
  6. Step 6: Final answer
    x = 11,367.11

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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.