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Finding the Fourth Proportional to 9,754.20, 14,609.70 and 3,907.80

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Solution

The fourth proportional to 9,754.20, 14,609.70 and 3,907.80 is: 5,853.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,754.20 : 14,609.70 = 3,907.80 : x
  2. Step 2: Convert to fraction form
    9,754.20/14,609.70 = 3,907.80/x
  3. Step 3: Cross multiply
    9,754.20x = 14,609.70 × 3,907.80
  4. Step 4: Simplify right side
    9,754.20x = 57,091,785.66
  5. Step 5: Solve for x
    x = 57,091,785.66/9,754.20
  6. Step 6: Final answer
    x = 5,853.05

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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.