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Finding the Fourth Proportional to 9,648.92, 13,313.88 and 5,399.12

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Solution

The fourth proportional to 9,648.92, 13,313.88 and 5,399.12 is: 7,449.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,648.92 : 13,313.88 = 5,399.12 : x
  2. Step 2: Convert to fraction form
    9,648.92/13,313.88 = 5,399.12/x
  3. Step 3: Cross multiply
    9,648.92x = 13,313.88 × 5,399.12
  4. Step 4: Simplify right side
    9,648.92x = 71,883,235.79
  5. Step 5: Solve for x
    x = 71,883,235.79/9,648.92
  6. Step 6: Final answer
    x = 7,449.87

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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.