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Finding the Fourth Proportional to 9,648.63, 13,314.16 and 5,399.44

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Solution

The fourth proportional to 9,648.63, 13,314.16 and 5,399.44 is: 7,450.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,648.63 : 13,314.16 = 5,399.44 : x
  2. Step 2: Convert to fraction form
    9,648.63/13,314.16 = 5,399.44/x
  3. Step 3: Cross multiply
    9,648.63x = 13,314.16 × 5,399.44
  4. Step 4: Simplify right side
    9,648.63x = 71,889,008.07
  5. Step 5: Solve for x
    x = 71,889,008.07/9,648.63
  6. Step 6: Final answer
    x = 7,450.70

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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.