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Finding the Fourth Proportional to 6,573.78, 9,860.25 and 2,678.09

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Solution

The fourth proportional to 6,573.78, 9,860.25 and 2,678.09 is: 4,016.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,573.78 : 9,860.25 = 2,678.09 : x
  2. Step 2: Convert to fraction form
    6,573.78/9,860.25 = 2,678.09/x
  3. Step 3: Cross multiply
    6,573.78x = 9,860.25 × 2,678.09
  4. Step 4: Simplify right side
    6,573.78x = 26,406,587.62
  5. Step 5: Solve for x
    x = 26,406,587.62/6,573.78
  6. Step 6: Final answer
    x = 4,016.96

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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.