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Finding the Fourth Proportional to 9,961.69, 13,747.23 and 5,485.86

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Solution

The fourth proportional to 9,961.69, 13,747.23 and 5,485.86 is: 7,570.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,961.69 : 13,747.23 = 5,485.86 : x
  2. Step 2: Convert to fraction form
    9,961.69/13,747.23 = 5,485.86/x
  3. Step 3: Cross multiply
    9,961.69x = 13,747.23 × 5,485.86
  4. Step 4: Simplify right side
    9,961.69x = 75,415,358.51
  5. Step 5: Solve for x
    x = 75,415,358.51/9,961.69
  6. Step 6: Final answer
    x = 7,570.54

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.