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Finding the Fourth Proportional to 6,725.90, 9,280.67 and 3,741.72

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Solution

The fourth proportional to 6,725.90, 9,280.67 and 3,741.72 is: 5,162.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,725.90 : 9,280.67 = 3,741.72 : x
  2. Step 2: Convert to fraction form
    6,725.90/9,280.67 = 3,741.72/x
  3. Step 3: Cross multiply
    6,725.90x = 9,280.67 × 3,741.72
  4. Step 4: Simplify right side
    6,725.90x = 34,725,649.84
  5. Step 5: Solve for x
    x = 34,725,649.84/6,725.90
  6. Step 6: Final answer
    x = 5,162.98

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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.