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Finding the Fourth Proportional to 6,451.86, 9,678.23 and 2,556.25

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Solution

The fourth proportional to 6,451.86, 9,678.23 and 2,556.25 is: 3,834.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,451.86 : 9,678.23 = 2,556.25 : x
  2. Step 2: Convert to fraction form
    6,451.86/9,678.23 = 2,556.25/x
  3. Step 3: Cross multiply
    6,451.86x = 9,678.23 × 2,556.25
  4. Step 4: Simplify right side
    6,451.86x = 24,739,981.83
  5. Step 5: Solve for x
    x = 24,739,981.83/6,451.86
  6. Step 6: Final answer
    x = 3,834.55

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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.