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Finding the Fourth Proportional to 9,578.57, 14,363.30 and 3,337.82

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Solution

The fourth proportional to 9,578.57, 14,363.30 and 3,337.82 is: 5,005.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,578.57 : 14,363.30 = 3,337.82 : x
  2. Step 2: Convert to fraction form
    9,578.57/14,363.30 = 3,337.82/x
  3. Step 3: Cross multiply
    9,578.57x = 14,363.30 × 3,337.82
  4. Step 4: Simplify right side
    9,578.57x = 47,942,021.50
  5. Step 5: Solve for x
    x = 47,942,021.50/9,578.57
  6. Step 6: Final answer
    x = 5,005.14

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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.