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Finding the Fourth Proportional to 9,505.44, 14,259.60 and 3,348

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Solution

The fourth proportional to 9,505.44, 14,259.60 and 3,348 is: 5,022.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,505.44 : 14,259.60 = 3,348 : x
  2. Step 2: Convert to fraction form
    9,505.44/14,259.60 = 3,348/x
  3. Step 3: Cross multiply
    9,505.44x = 14,259.60 × 3,348
  4. Step 4: Simplify right side
    9,505.44x = 47,741,140.80
  5. Step 5: Solve for x
    x = 47,741,140.80/9,505.44
  6. Step 6: Final answer
    x = 5,022.51

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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.