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Finding the Fourth Proportional to 6,930.74, 9,574.54 and 5,997.62

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Solution

The fourth proportional to 6,930.74, 9,574.54 and 5,997.62 is: 8,285.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,930.74 : 9,574.54 = 5,997.62 : x
  2. Step 2: Convert to fraction form
    6,930.74/9,574.54 = 5,997.62/x
  3. Step 3: Cross multiply
    6,930.74x = 9,574.54 × 5,997.62
  4. Step 4: Simplify right side
    6,930.74x = 57,424,452.59
  5. Step 5: Solve for x
    x = 57,424,452.59/6,930.74
  6. Step 6: Final answer
    x = 8,285.47

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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.