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Finding the Fourth Proportional to 9,503.28, 13,111.32 and 6,150.33

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Solution

The fourth proportional to 9,503.28, 13,111.32 and 6,150.33 is: 8,485.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,503.28 : 13,111.32 = 6,150.33 : x
  2. Step 2: Convert to fraction form
    9,503.28/13,111.32 = 6,150.33/x
  3. Step 3: Cross multiply
    9,503.28x = 13,111.32 × 6,150.33
  4. Step 4: Simplify right side
    9,503.28x = 80,638,944.74
  5. Step 5: Solve for x
    x = 80,638,944.74/9,503.28
  6. Step 6: Final answer
    x = 8,485.38

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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.