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Finding the Fourth Proportional to 6,725.65, 9,280.32 and 3,741.47

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Solution

The fourth proportional to 6,725.65, 9,280.32 and 3,741.47 is: 5,162.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,725.65 : 9,280.32 = 3,741.47 : x
  2. Step 2: Convert to fraction form
    6,725.65/9,280.32 = 3,741.47/x
  3. Step 3: Cross multiply
    6,725.65x = 9,280.32 × 3,741.47
  4. Step 4: Simplify right side
    6,725.65x = 34,722,038.87
  5. Step 5: Solve for x
    x = 34,722,038.87/6,725.65
  6. Step 6: Final answer
    x = 5,162.63

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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.