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Finding the Fourth Proportional to 9,739.71, 14,611.73 and 4,542.75

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Solution

The fourth proportional to 9,739.71, 14,611.73 and 4,542.75 is: 6,815.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,739.71 : 14,611.73 = 4,542.75 : x
  2. Step 2: Convert to fraction form
    9,739.71/14,611.73 = 4,542.75/x
  3. Step 3: Cross multiply
    9,739.71x = 14,611.73 × 4,542.75
  4. Step 4: Simplify right side
    9,739.71x = 66,377,413.74
  5. Step 5: Solve for x
    x = 66,377,413.74/9,739.71
  6. Step 6: Final answer
    x = 6,815.13

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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.