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Finding the Fourth Proportional to 9,596.52, 13,243.32 and 5,616.72

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Solution

The fourth proportional to 9,596.52, 13,243.32 and 5,616.72 is: 7,751.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,596.52 : 13,243.32 = 5,616.72 : x
  2. Step 2: Convert to fraction form
    9,596.52/13,243.32 = 5,616.72/x
  3. Step 3: Cross multiply
    9,596.52x = 13,243.32 × 5,616.72
  4. Step 4: Simplify right side
    9,596.52x = 74,384,020.31
  5. Step 5: Solve for x
    x = 74,384,020.31/9,596.52
  6. Step 6: Final answer
    x = 7,751.15

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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.