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Finding the Fourth Proportional to 8,922.62, 12,313.29 and 5,385.14

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Solution

The fourth proportional to 8,922.62, 12,313.29 and 5,385.14 is: 7,431.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,922.62 : 12,313.29 = 5,385.14 : x
  2. Step 2: Convert to fraction form
    8,922.62/12,313.29 = 5,385.14/x
  3. Step 3: Cross multiply
    8,922.62x = 12,313.29 × 5,385.14
  4. Step 4: Simplify right side
    8,922.62x = 66,308,728.94
  5. Step 5: Solve for x
    x = 66,308,728.94/8,922.62
  6. Step 6: Final answer
    x = 7,431.54

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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.