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Finding the Fourth Proportional to 9,018.42, 12,446.94 and 5,664.12

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Solution

The fourth proportional to 9,018.42, 12,446.94 and 5,664.12 is: 7,817.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,018.42 : 12,446.94 = 5,664.12 : x
  2. Step 2: Convert to fraction form
    9,018.42/12,446.94 = 5,664.12/x
  3. Step 3: Cross multiply
    9,018.42x = 12,446.94 × 5,664.12
  4. Step 4: Simplify right side
    9,018.42x = 70,500,961.79
  5. Step 5: Solve for x
    x = 70,500,961.79/9,018.42
  6. Step 6: Final answer
    x = 7,817.44

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.