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Finding the Fourth Proportional to 9,242, 12,753.96 and 5,050.24

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Solution

The fourth proportional to 9,242, 12,753.96 and 5,050.24 is: 6,969.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,242 : 12,753.96 = 5,050.24 : x
  2. Step 2: Convert to fraction form
    9,242/12,753.96 = 5,050.24/x
  3. Step 3: Cross multiply
    9,242x = 12,753.96 × 5,050.24
  4. Step 4: Simplify right side
    9,242x = 64,410,558.95
  5. Step 5: Solve for x
    x = 64,410,558.95/9,242
  6. Step 6: Final answer
    x = 6,969.33

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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.