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Finding the Fourth Proportional to 9,578.17, 14,354.80 and 5,361.25

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Solution

The fourth proportional to 9,578.17, 14,354.80 and 5,361.25 is: 8,034.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,578.17 : 14,354.80 = 5,361.25 : x
  2. Step 2: Convert to fraction form
    9,578.17/14,354.80 = 5,361.25/x
  3. Step 3: Cross multiply
    9,578.17x = 14,354.80 × 5,361.25
  4. Step 4: Simplify right side
    9,578.17x = 76,959,671.50
  5. Step 5: Solve for x
    x = 76,959,671.50/9,578.17
  6. Step 6: Final answer
    x = 8,034.90

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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.