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Finding the Fourth Proportional to 6,375.58, 9,564.27 and 2,678.02

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Solution

The fourth proportional to 6,375.58, 9,564.27 and 2,678.02 is: 4,017.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,375.58 : 9,564.27 = 2,678.02 : x
  2. Step 2: Convert to fraction form
    6,375.58/9,564.27 = 2,678.02/x
  3. Step 3: Cross multiply
    6,375.58x = 9,564.27 × 2,678.02
  4. Step 4: Simplify right side
    6,375.58x = 25,613,306.35
  5. Step 5: Solve for x
    x = 25,613,306.35/6,375.58
  6. Step 6: Final answer
    x = 4,017.41

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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.