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Finding the Fourth Proportional to 9,648.49, 13,314.00 and 5,399.33

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Solution

The fourth proportional to 9,648.49, 13,314.00 and 5,399.33 is: 7,450.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,648.49 : 13,314.00 = 5,399.33 : x
  2. Step 2: Convert to fraction form
    9,648.49/13,314.00 = 5,399.33/x
  3. Step 3: Cross multiply
    9,648.49x = 13,314.00 × 5,399.33
  4. Step 4: Simplify right side
    9,648.49x = 71,886,700.08
  5. Step 5: Solve for x
    x = 71,886,700.08/9,648.49
  6. Step 6: Final answer
    x = 7,450.56

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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.