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Finding the Fourth Proportional to 9,596.63, 13,244.16 and 5,405.69

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Solution

The fourth proportional to 9,596.63, 13,244.16 and 5,405.69 is: 7,460.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,596.63 : 13,244.16 = 5,405.69 : x
  2. Step 2: Convert to fraction form
    9,596.63/13,244.16 = 5,405.69/x
  3. Step 3: Cross multiply
    9,596.63x = 13,244.16 × 5,405.69
  4. Step 4: Simplify right side
    9,596.63x = 71,593,757.05
  5. Step 5: Solve for x
    x = 71,593,757.05/9,596.63
  6. Step 6: Final answer
    x = 7,460.31

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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.