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Finding the Fourth Proportional to 6,277.96, 9,409.11 and 2,578.15

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Solution

The fourth proportional to 6,277.96, 9,409.11 and 2,578.15 is: 3,864.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,277.96 : 9,409.11 = 2,578.15 : x
  2. Step 2: Convert to fraction form
    6,277.96/9,409.11 = 2,578.15/x
  3. Step 3: Cross multiply
    6,277.96x = 9,409.11 × 2,578.15
  4. Step 4: Simplify right side
    6,277.96x = 24,258,096.95
  5. Step 5: Solve for x
    x = 24,258,096.95/6,277.96
  6. Step 6: Final answer
    x = 3,864.01

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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.