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Finding the Fourth Proportional to 6,972.54, 9,620.23 and 4,137.56

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Solution

The fourth proportional to 6,972.54, 9,620.23 and 4,137.56 is: 5,708.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,972.54 : 9,620.23 = 4,137.56 : x
  2. Step 2: Convert to fraction form
    6,972.54/9,620.23 = 4,137.56/x
  3. Step 3: Cross multiply
    6,972.54x = 9,620.23 × 4,137.56
  4. Step 4: Simplify right side
    6,972.54x = 39,804,278.84
  5. Step 5: Solve for x
    x = 39,804,278.84/6,972.54
  6. Step 6: Final answer
    x = 5,708.72

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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.