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Finding the Fourth Proportional to 9,658.91, 14,485.23 and 3,083.54

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Solution

The fourth proportional to 9,658.91, 14,485.23 and 3,083.54 is: 4,624.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,658.91 : 14,485.23 = 3,083.54 : x
  2. Step 2: Convert to fraction form
    9,658.91/14,485.23 = 3,083.54/x
  3. Step 3: Cross multiply
    9,658.91x = 14,485.23 × 3,083.54
  4. Step 4: Simplify right side
    9,658.91x = 44,665,713.69
  5. Step 5: Solve for x
    x = 44,665,713.69/9,658.91
  6. Step 6: Final answer
    x = 4,624.30

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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.