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Finding the Fourth Proportional to 9,578.50, 14,353.84 and 6,810.73

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Solution

The fourth proportional to 9,578.50, 14,353.84 and 6,810.73 is: 10,206.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,578.50 : 14,353.84 = 6,810.73 : x
  2. Step 2: Convert to fraction form
    9,578.50/14,353.84 = 6,810.73/x
  3. Step 3: Cross multiply
    9,578.50x = 14,353.84 × 6,810.73
  4. Step 4: Simplify right side
    9,578.50x = 97,760,128.70
  5. Step 5: Solve for x
    x = 97,760,128.70/9,578.50
  6. Step 6: Final answer
    x = 10,206.20

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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.