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Finding the Fourth Proportional to 9,568.42, 14,350.65 and 3,724.90

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Solution

The fourth proportional to 9,568.42, 14,350.65 and 3,724.90 is: 5,586.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,568.42 : 14,350.65 = 3,724.90 : x
  2. Step 2: Convert to fraction form
    9,568.42/14,350.65 = 3,724.90/x
  3. Step 3: Cross multiply
    9,568.42x = 14,350.65 × 3,724.90
  4. Step 4: Simplify right side
    9,568.42x = 53,454,736.19
  5. Step 5: Solve for x
    x = 53,454,736.19/9,568.42
  6. Step 6: Final answer
    x = 5,586.58

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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.