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Finding the Fourth Proportional to 9,401.40, 14,074.43 and 6,947.17

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Solution

The fourth proportional to 9,401.40, 14,074.43 and 6,947.17 is: 10,400.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,401.40 : 14,074.43 = 6,947.17 : x
  2. Step 2: Convert to fraction form
    9,401.40/14,074.43 = 6,947.17/x
  3. Step 3: Cross multiply
    9,401.40x = 14,074.43 × 6,947.17
  4. Step 4: Simplify right side
    9,401.40x = 97,777,387.94
  5. Step 5: Solve for x
    x = 97,777,387.94/9,401.40
  6. Step 6: Final answer
    x = 10,400.30

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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.