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Finding the Fourth Proportional to 9,669.12, 14,502.94 and 3,093.54

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Solution

The fourth proportional to 9,669.12, 14,502.94 and 3,093.54 is: 4,640.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,669.12 : 14,502.94 = 3,093.54 : x
  2. Step 2: Convert to fraction form
    9,669.12/14,502.94 = 3,093.54/x
  3. Step 3: Cross multiply
    9,669.12x = 14,502.94 × 3,093.54
  4. Step 4: Simplify right side
    9,669.12x = 44,865,425.01
  5. Step 5: Solve for x
    x = 44,865,425.01/9,669.12
  6. Step 6: Final answer
    x = 4,640.07

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.