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Finding the Fourth Proportional to 9,454.88, 14,179.44 and 5,348

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Solution

The fourth proportional to 9,454.88, 14,179.44 and 5,348 is: 8,020.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,454.88 : 14,179.44 = 5,348 : x
  2. Step 2: Convert to fraction form
    9,454.88/14,179.44 = 5,348/x
  3. Step 3: Cross multiply
    9,454.88x = 14,179.44 × 5,348
  4. Step 4: Simplify right side
    9,454.88x = 75,831,645.12
  5. Step 5: Solve for x
    x = 75,831,645.12/9,454.88
  6. Step 6: Final answer
    x = 8,020.37

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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.