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Finding the Fourth Proportional to 9,610.02, 14,414.32 and 4,615.97

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Solution

The fourth proportional to 9,610.02, 14,414.32 and 4,615.97 is: 6,923.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,610.02 : 14,414.32 = 4,615.97 : x
  2. Step 2: Convert to fraction form
    9,610.02/14,414.32 = 4,615.97/x
  3. Step 3: Cross multiply
    9,610.02x = 14,414.32 × 4,615.97
  4. Step 4: Simplify right side
    9,610.02x = 66,536,002.39
  5. Step 5: Solve for x
    x = 66,536,002.39/9,610.02
  6. Step 6: Final answer
    x = 6,923.61

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.