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Finding the Fourth Proportional to 6,701.76, 9,249 and 3,718.56

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Solution

The fourth proportional to 6,701.76, 9,249 and 3,718.56 is: 5,131.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,701.76 : 9,249 = 3,718.56 : x
  2. Step 2: Convert to fraction form
    6,701.76/9,249 = 3,718.56/x
  3. Step 3: Cross multiply
    6,701.76x = 9,249 × 3,718.56
  4. Step 4: Simplify right side
    6,701.76x = 34,392,961.44
  5. Step 5: Solve for x
    x = 34,392,961.44/6,701.76
  6. Step 6: Final answer
    x = 5,131.93

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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.