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Finding the Fourth Proportional to 9,407.44, 14,108.28 and 3,250

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Solution

The fourth proportional to 9,407.44, 14,108.28 and 3,250 is: 4,874.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,407.44 : 14,108.28 = 3,250 : x
  2. Step 2: Convert to fraction form
    9,407.44/14,108.28 = 3,250/x
  3. Step 3: Cross multiply
    9,407.44x = 14,108.28 × 3,250
  4. Step 4: Simplify right side
    9,407.44x = 45,851,910
  5. Step 5: Solve for x
    x = 45,851,910/9,407.44
  6. Step 6: Final answer
    x = 4,874.01

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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.