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Finding the Fourth Proportional to 9,865.50, 14,791.77 and 4,668.54

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Solution

The fourth proportional to 9,865.50, 14,791.77 and 4,668.54 is: 6,999.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,865.50 : 14,791.77 = 4,668.54 : x
  2. Step 2: Convert to fraction form
    9,865.50/14,791.77 = 4,668.54/x
  3. Step 3: Cross multiply
    9,865.50x = 14,791.77 × 4,668.54
  4. Step 4: Simplify right side
    9,865.50x = 69,055,969.92
  5. Step 5: Solve for x
    x = 69,055,969.92/9,865.50
  6. Step 6: Final answer
    x = 6,999.74

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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.