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Finding the Fourth Proportional to 6,478.12, 9,717.32 and 2,095.57

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Solution

The fourth proportional to 6,478.12, 9,717.32 and 2,095.57 is: 3,143.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,478.12 : 9,717.32 = 2,095.57 : x
  2. Step 2: Convert to fraction form
    6,478.12/9,717.32 = 2,095.57/x
  3. Step 3: Cross multiply
    6,478.12x = 9,717.32 × 2,095.57
  4. Step 4: Simplify right side
    6,478.12x = 20,363,324.27
  5. Step 5: Solve for x
    x = 20,363,324.27/6,478.12
  6. Step 6: Final answer
    x = 3,143.40

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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.