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Finding the Fourth Proportional to 9,765.71, 14,650.99 and 5,608.38

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Solution

The fourth proportional to 9,765.71, 14,650.99 and 5,608.38 is: 8,413.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,765.71 : 14,650.99 = 5,608.38 : x
  2. Step 2: Convert to fraction form
    9,765.71/14,650.99 = 5,608.38/x
  3. Step 3: Cross multiply
    9,765.71x = 14,650.99 × 5,608.38
  4. Step 4: Simplify right side
    9,765.71x = 82,168,305.28
  5. Step 5: Solve for x
    x = 82,168,305.28/9,765.71
  6. Step 6: Final answer
    x = 8,413.97

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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.