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Finding the Fourth Proportional to 9,850.53, 14,781.42 and 3,609.72

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Solution

The fourth proportional to 9,850.53, 14,781.42 and 3,609.72 is: 5,416.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,850.53 : 14,781.42 = 3,609.72 : x
  2. Step 2: Convert to fraction form
    9,850.53/14,781.42 = 3,609.72/x
  3. Step 3: Cross multiply
    9,850.53x = 14,781.42 × 3,609.72
  4. Step 4: Simplify right side
    9,850.53x = 53,356,787.40
  5. Step 5: Solve for x
    x = 53,356,787.40/9,850.53
  6. Step 6: Final answer
    x = 5,416.64

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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.