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Finding the Fourth Proportional to 9,574.67, 14,361.84 and 3,334.57

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Solution

The fourth proportional to 9,574.67, 14,361.84 and 3,334.57 is: 5,001.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,574.67 : 14,361.84 = 3,334.57 : x
  2. Step 2: Convert to fraction form
    9,574.67/14,361.84 = 3,334.57/x
  3. Step 3: Cross multiply
    9,574.67x = 14,361.84 × 3,334.57
  4. Step 4: Simplify right side
    9,574.67x = 47,890,524.90
  5. Step 5: Solve for x
    x = 47,890,524.90/9,574.67
  6. Step 6: Final answer
    x = 5,001.79

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.