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Finding the Fourth Proportional to 6,376.77, 9,565.15 and 1,696.78

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Solution

The fourth proportional to 6,376.77, 9,565.15 and 1,696.78 is: 2,545.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,376.77 : 9,565.15 = 1,696.78 : x
  2. Step 2: Convert to fraction form
    6,376.77/9,565.15 = 1,696.78/x
  3. Step 3: Cross multiply
    6,376.77x = 9,565.15 × 1,696.78
  4. Step 4: Simplify right side
    6,376.77x = 16,229,959.75
  5. Step 5: Solve for x
    x = 16,229,959.75/6,376.77
  6. Step 6: Final answer
    x = 2,545.17

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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.