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Finding the Fourth Proportional to 6,597.29, 9,896.24 and 3,673.40

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Solution

The fourth proportional to 6,597.29, 9,896.24 and 3,673.40 is: 5,510.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,597.29 : 9,896.24 = 3,673.40 : x
  2. Step 2: Convert to fraction form
    6,597.29/9,896.24 = 3,673.40/x
  3. Step 3: Cross multiply
    6,597.29x = 9,896.24 × 3,673.40
  4. Step 4: Simplify right side
    6,597.29x = 36,352,807.72
  5. Step 5: Solve for x
    x = 36,352,807.72/6,597.29
  6. Step 6: Final answer
    x = 5,510.26

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.