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Finding the Fourth Proportional to 9,509.22, 13,127.31 and 5,974.38

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Solution

The fourth proportional to 9,509.22, 13,127.31 and 5,974.38 is: 8,247.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,509.22 : 13,127.31 = 5,974.38 : x
  2. Step 2: Convert to fraction form
    9,509.22/13,127.31 = 5,974.38/x
  3. Step 3: Cross multiply
    9,509.22x = 13,127.31 × 5,974.38
  4. Step 4: Simplify right side
    9,509.22x = 78,427,538.32
  5. Step 5: Solve for x
    x = 78,427,538.32/9,509.22
  6. Step 6: Final answer
    x = 8,247.53

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Why These Related Problems?

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