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Finding the Fourth Proportional to 6,478.34, 9,718.92 and 2,095.83

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Solution

The fourth proportional to 6,478.34, 9,718.92 and 2,095.83 is: 3,144.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,478.34 : 9,718.92 = 2,095.83 : x
  2. Step 2: Convert to fraction form
    6,478.34/9,718.92 = 2,095.83/x
  3. Step 3: Cross multiply
    6,478.34x = 9,718.92 × 2,095.83
  4. Step 4: Simplify right side
    6,478.34x = 20,369,204.10
  5. Step 5: Solve for x
    x = 20,369,204.10/6,478.34
  6. Step 6: Final answer
    x = 3,144.20

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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.