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Finding the Fourth Proportional to 8,922.84, 12,313.68 and 5,385.24

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Solution

The fourth proportional to 8,922.84, 12,313.68 and 5,385.24 is: 7,431.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,922.84 : 12,313.68 = 5,385.24 : x
  2. Step 2: Convert to fraction form
    8,922.84/12,313.68 = 5,385.24/x
  3. Step 3: Cross multiply
    8,922.84x = 12,313.68 × 5,385.24
  4. Step 4: Simplify right side
    8,922.84x = 66,312,122.08
  5. Step 5: Solve for x
    x = 66,312,122.08/8,922.84
  6. Step 6: Final answer
    x = 7,431.73

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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.