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Finding the Fourth Proportional to 9,847.66, 14,759.01 and 9,743.50

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Solution

The fourth proportional to 9,847.66, 14,759.01 and 9,743.50 is: 14,602.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,847.66 : 14,759.01 = 9,743.50 : x
  2. Step 2: Convert to fraction form
    9,847.66/14,759.01 = 9,743.50/x
  3. Step 3: Cross multiply
    9,847.66x = 14,759.01 × 9,743.50
  4. Step 4: Simplify right side
    9,847.66x = 143,804,413.94
  5. Step 5: Solve for x
    x = 143,804,413.94/9,847.66
  6. Step 6: Final answer
    x = 14,602.90

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Why These Related Problems?

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