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Finding the Fourth Proportional to 9,738.09, 14,607.09 and 3,168.90

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Solution

The fourth proportional to 9,738.09, 14,607.09 and 3,168.90 is: 4,753.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,738.09 : 14,607.09 = 3,168.90 : x
  2. Step 2: Convert to fraction form
    9,738.09/14,607.09 = 3,168.90/x
  3. Step 3: Cross multiply
    9,738.09x = 14,607.09 × 3,168.90
  4. Step 4: Simplify right side
    9,738.09x = 46,288,407.50
  5. Step 5: Solve for x
    x = 46,288,407.50/9,738.09
  6. Step 6: Final answer
    x = 4,753.34

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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.