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Finding the Fourth Proportional to 9,969.72, 14,945.67 and 4,122.60

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Solution

The fourth proportional to 9,969.72, 14,945.67 and 4,122.60 is: 6,180.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,969.72 : 14,945.67 = 4,122.60 : x
  2. Step 2: Convert to fraction form
    9,969.72/14,945.67 = 4,122.60/x
  3. Step 3: Cross multiply
    9,969.72x = 14,945.67 × 4,122.60
  4. Step 4: Simplify right side
    9,969.72x = 61,615,019.14
  5. Step 5: Solve for x
    x = 61,615,019.14/9,969.72
  6. Step 6: Final answer
    x = 6,180.22

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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.