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Finding the Fourth Proportional to 9,578.84, 14,359.73 and 3,734.10

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Solution

The fourth proportional to 9,578.84, 14,359.73 and 3,734.10 is: 5,597.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,578.84 : 14,359.73 = 3,734.10 : x
  2. Step 2: Convert to fraction form
    9,578.84/14,359.73 = 3,734.10/x
  3. Step 3: Cross multiply
    9,578.84x = 14,359.73 × 3,734.10
  4. Step 4: Simplify right side
    9,578.84x = 53,620,649.12
  5. Step 5: Solve for x
    x = 53,620,649.12/9,578.84
  6. Step 6: Final answer
    x = 5,597.83

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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.