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Finding the Fourth Proportional to 6,972.84, 9,628.77 and 5,201.37

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Solution

The fourth proportional to 6,972.84, 9,628.77 and 5,201.37 is: 7,182.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,972.84 : 9,628.77 = 5,201.37 : x
  2. Step 2: Convert to fraction form
    6,972.84/9,628.77 = 5,201.37/x
  3. Step 3: Cross multiply
    6,972.84x = 9,628.77 × 5,201.37
  4. Step 4: Simplify right side
    6,972.84x = 50,082,795.41
  5. Step 5: Solve for x
    x = 50,082,795.41/6,972.84
  6. Step 6: Final answer
    x = 7,182.55

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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.