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Finding the Fourth Proportional to 6,722.79, 9,277.25 and 3,738.57

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Solution

The fourth proportional to 6,722.79, 9,277.25 and 3,738.57 is: 5,159.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,722.79 : 9,277.25 = 3,738.57 : x
  2. Step 2: Convert to fraction form
    6,722.79/9,277.25 = 3,738.57/x
  3. Step 3: Cross multiply
    6,722.79x = 9,277.25 × 3,738.57
  4. Step 4: Simplify right side
    6,722.79x = 34,683,648.53
  5. Step 5: Solve for x
    x = 34,683,648.53/6,722.79
  6. Step 6: Final answer
    x = 5,159.12

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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.