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Finding the Fourth Proportional to 9,761.22, 14,637.60 and 3,096

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Solution

The fourth proportional to 9,761.22, 14,637.60 and 3,096 is: 4,642.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,761.22 : 14,637.60 = 3,096 : x
  2. Step 2: Convert to fraction form
    9,761.22/14,637.60 = 3,096/x
  3. Step 3: Cross multiply
    9,761.22x = 14,637.60 × 3,096
  4. Step 4: Simplify right side
    9,761.22x = 45,318,009.60
  5. Step 5: Solve for x
    x = 45,318,009.60/9,761.22
  6. Step 6: Final answer
    x = 4,642.66

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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.