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Finding the Fourth Proportional to 9,610.40, 14,414.48 and 4,064.64

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Solution

The fourth proportional to 9,610.40, 14,414.48 and 4,064.64 is: 6,096.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,610.40 : 14,414.48 = 4,064.64 : x
  2. Step 2: Convert to fraction form
    9,610.40/14,414.48 = 4,064.64/x
  3. Step 3: Cross multiply
    9,610.40x = 14,414.48 × 4,064.64
  4. Step 4: Simplify right side
    9,610.40x = 58,589,671.99
  5. Step 5: Solve for x
    x = 58,589,671.99/9,610.40
  6. Step 6: Final answer
    x = 6,096.49

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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.