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Finding the Fourth Proportional to 6,998.50, 9,657.96 and 4,205.62

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Solution

The fourth proportional to 6,998.50, 9,657.96 and 4,205.62 is: 5,803.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,998.50 : 9,657.96 = 4,205.62 : x
  2. Step 2: Convert to fraction form
    6,998.50/9,657.96 = 4,205.62/x
  3. Step 3: Cross multiply
    6,998.50x = 9,657.96 × 4,205.62
  4. Step 4: Simplify right side
    6,998.50x = 40,617,709.74
  5. Step 5: Solve for x
    x = 40,617,709.74/6,998.50
  6. Step 6: Final answer
    x = 5,803.77

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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.