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Finding the Fourth Proportional to 9,825, 14,743.26 and 4,353

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Solution

The fourth proportional to 9,825, 14,743.26 and 4,353 is: 6,532.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,825 : 14,743.26 = 4,353 : x
  2. Step 2: Convert to fraction form
    9,825/14,743.26 = 4,353/x
  3. Step 3: Cross multiply
    9,825x = 14,743.26 × 4,353
  4. Step 4: Simplify right side
    9,825x = 64,177,410.78
  5. Step 5: Solve for x
    x = 64,177,410.78/9,825
  6. Step 6: Final answer
    x = 6,532.05

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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.