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Finding the Fourth Proportional to 6,721.56, 9,277.74 and 4,202.18

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Solution

The fourth proportional to 6,721.56, 9,277.74 and 4,202.18 is: 5,800.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,721.56 : 9,277.74 = 4,202.18 : x
  2. Step 2: Convert to fraction form
    6,721.56/9,277.74 = 4,202.18/x
  3. Step 3: Cross multiply
    6,721.56x = 9,277.74 × 4,202.18
  4. Step 4: Simplify right side
    6,721.56x = 38,986,721.88
  5. Step 5: Solve for x
    x = 38,986,721.88/6,721.56
  6. Step 6: Final answer
    x = 5,800.25

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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.