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Finding the Fourth Proportional to 7,033.84, 9,706.44 and 4,049.56

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Solution

The fourth proportional to 7,033.84, 9,706.44 and 4,049.56 is: 5,588.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,033.84 : 9,706.44 = 4,049.56 : x
  2. Step 2: Convert to fraction form
    7,033.84/9,706.44 = 4,049.56/x
  3. Step 3: Cross multiply
    7,033.84x = 9,706.44 × 4,049.56
  4. Step 4: Simplify right side
    7,033.84x = 39,306,811.17
  5. Step 5: Solve for x
    x = 39,306,811.17/7,033.84
  6. Step 6: Final answer
    x = 5,588.24

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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.