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Finding the Fourth Proportional to 9,721.24, 14,506.02 and 8,674.04

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Solution

The fourth proportional to 9,721.24, 14,506.02 and 8,674.04 is: 12,943.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,721.24 : 14,506.02 = 8,674.04 : x
  2. Step 2: Convert to fraction form
    9,721.24/14,506.02 = 8,674.04/x
  3. Step 3: Cross multiply
    9,721.24x = 14,506.02 × 8,674.04
  4. Step 4: Simplify right side
    9,721.24x = 125,825,797.72
  5. Step 5: Solve for x
    x = 125,825,797.72/9,721.24
  6. Step 6: Final answer
    x = 12,943.39

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.