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Finding the Fourth Proportional to 6,916.74, 9,545.49 and 3,772.98

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Solution

The fourth proportional to 6,916.74, 9,545.49 and 3,772.98 is: 5,206.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,916.74 : 9,545.49 = 3,772.98 : x
  2. Step 2: Convert to fraction form
    6,916.74/9,545.49 = 3,772.98/x
  3. Step 3: Cross multiply
    6,916.74x = 9,545.49 × 3,772.98
  4. Step 4: Simplify right side
    6,916.74x = 36,014,942.86
  5. Step 5: Solve for x
    x = 36,014,942.86/6,916.74
  6. Step 6: Final answer
    x = 5,206.92

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.