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Finding the Fourth Proportional to 9,649.44, 14,471.28 and 3,492

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Solution

The fourth proportional to 9,649.44, 14,471.28 and 3,492 is: 5,236.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,649.44 : 14,471.28 = 3,492 : x
  2. Step 2: Convert to fraction form
    9,649.44/14,471.28 = 3,492/x
  3. Step 3: Cross multiply
    9,649.44x = 14,471.28 × 3,492
  4. Step 4: Simplify right side
    9,649.44x = 50,533,709.76
  5. Step 5: Solve for x
    x = 50,533,709.76/9,649.44
  6. Step 6: Final answer
    x = 5,236.96

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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.