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Finding the Fourth Proportional to 6,974.37, 9,605.93 and 6,448.86

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Solution

The fourth proportional to 6,974.37, 9,605.93 and 6,448.86 is: 8,882.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,974.37 : 9,605.93 = 6,448.86 : x
  2. Step 2: Convert to fraction form
    6,974.37/9,605.93 = 6,448.86/x
  3. Step 3: Cross multiply
    6,974.37x = 9,605.93 × 6,448.86
  4. Step 4: Simplify right side
    6,974.37x = 61,947,265.50
  5. Step 5: Solve for x
    x = 61,947,265.50/6,974.37
  6. Step 6: Final answer
    x = 8,882.13

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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.