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Finding the Fourth Proportional to 6,940.68, 9,555.96 and 5,618.76

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Solution

The fourth proportional to 6,940.68, 9,555.96 and 5,618.76 is: 7,735.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,940.68 : 9,555.96 = 5,618.76 : x
  2. Step 2: Convert to fraction form
    6,940.68/9,555.96 = 5,618.76/x
  3. Step 3: Cross multiply
    6,940.68x = 9,555.96 × 5,618.76
  4. Step 4: Simplify right side
    6,940.68x = 53,692,645.81
  5. Step 5: Solve for x
    x = 53,692,645.81/6,940.68
  6. Step 6: Final answer
    x = 7,735.93

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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.