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Finding the Fourth Proportional to 9,431, 14,147.40 and 2,505.50

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Solution

The fourth proportional to 9,431, 14,147.40 and 2,505.50 is: 3,758.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,431 : 14,147.40 = 2,505.50 : x
  2. Step 2: Convert to fraction form
    9,431/14,147.40 = 2,505.50/x
  3. Step 3: Cross multiply
    9,431x = 14,147.40 × 2,505.50
  4. Step 4: Simplify right side
    9,431x = 35,446,310.70
  5. Step 5: Solve for x
    x = 35,446,310.70/9,431
  6. Step 6: Final answer
    x = 3,758.49

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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.