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Finding the Fourth Proportional to 6,278.96, 9,421.14 and 2,992.08

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Solution

The fourth proportional to 6,278.96, 9,421.14 and 2,992.08 is: 4,489.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,278.96 : 9,421.14 = 2,992.08 : x
  2. Step 2: Convert to fraction form
    6,278.96/9,421.14 = 2,992.08/x
  3. Step 3: Cross multiply
    6,278.96x = 9,421.14 × 2,992.08
  4. Step 4: Simplify right side
    6,278.96x = 28,188,804.57
  5. Step 5: Solve for x
    x = 28,188,804.57/6,278.96
  6. Step 6: Final answer
    x = 4,489.41

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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.