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Finding the Fourth Proportional to 7,029.44, 9,706.20 and 5,454.80

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Solution

The fourth proportional to 7,029.44, 9,706.20 and 5,454.80 is: 7,531.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,029.44 : 9,706.20 = 5,454.80 : x
  2. Step 2: Convert to fraction form
    7,029.44/9,706.20 = 5,454.80/x
  3. Step 3: Cross multiply
    7,029.44x = 9,706.20 × 5,454.80
  4. Step 4: Simplify right side
    7,029.44x = 52,945,379.76
  5. Step 5: Solve for x
    x = 52,945,379.76/7,029.44
  6. Step 6: Final answer
    x = 7,531.95

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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.