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Finding the Fourth Proportional to 9,751.86, 14,630.49 and 4,201.47

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Solution

The fourth proportional to 9,751.86, 14,630.49 and 4,201.47 is: 6,303.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,751.86 : 14,630.49 = 4,201.47 : x
  2. Step 2: Convert to fraction form
    9,751.86/14,630.49 = 4,201.47/x
  3. Step 3: Cross multiply
    9,751.86x = 14,630.49 × 4,201.47
  4. Step 4: Simplify right side
    9,751.86x = 61,469,564.82
  5. Step 5: Solve for x
    x = 61,469,564.82/9,751.86
  6. Step 6: Final answer
    x = 6,303.37

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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.