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Finding the Fourth Proportional to 6,069.80, 9,106.07 and 1,853.43

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Solution

The fourth proportional to 6,069.80, 9,106.07 and 1,853.43 is: 2,780.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,069.80 : 9,106.07 = 1,853.43 : x
  2. Step 2: Convert to fraction form
    6,069.80/9,106.07 = 1,853.43/x
  3. Step 3: Cross multiply
    6,069.80x = 9,106.07 × 1,853.43
  4. Step 4: Simplify right side
    6,069.80x = 16,877,454.05
  5. Step 5: Solve for x
    x = 16,877,454.05/6,069.80
  6. Step 6: Final answer
    x = 2,780.56

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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.