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Finding the Fourth Proportional to 6,453.19, 9,674.04 and 2,292.65

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Solution

The fourth proportional to 6,453.19, 9,674.04 and 2,292.65 is: 3,436.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,453.19 : 9,674.04 = 2,292.65 : x
  2. Step 2: Convert to fraction form
    6,453.19/9,674.04 = 2,292.65/x
  3. Step 3: Cross multiply
    6,453.19x = 9,674.04 × 2,292.65
  4. Step 4: Simplify right side
    6,453.19x = 22,179,139.44
  5. Step 5: Solve for x
    x = 22,179,139.44/6,453.19
  6. Step 6: Final answer
    x = 3,436.93

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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.