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Finding the Fourth Proportional to 9,664.17, 13,236.62 and 9,096.76

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Solution

The fourth proportional to 9,664.17, 13,236.62 and 9,096.76 is: 12,459.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,664.17 : 13,236.62 = 9,096.76 : x
  2. Step 2: Convert to fraction form
    9,664.17/13,236.62 = 9,096.76/x
  3. Step 3: Cross multiply
    9,664.17x = 13,236.62 × 9,096.76
  4. Step 4: Simplify right side
    9,664.17x = 120,410,355.35
  5. Step 5: Solve for x
    x = 120,410,355.35/9,664.17
  6. Step 6: Final answer
    x = 12,459.46

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.