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Finding the Fourth Proportional to 6,477.80, 9,718.11 and 2,095.70

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Solution

The fourth proportional to 6,477.80, 9,718.11 and 2,095.70 is: 3,144.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,477.80 : 9,718.11 = 2,095.70 : x
  2. Step 2: Convert to fraction form
    6,477.80/9,718.11 = 2,095.70/x
  3. Step 3: Cross multiply
    6,477.80x = 9,718.11 × 2,095.70
  4. Step 4: Simplify right side
    6,477.80x = 20,366,194.54
  5. Step 5: Solve for x
    x = 20,366,194.54/6,477.80
  6. Step 6: Final answer
    x = 3,144.00

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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.