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Finding the Fourth Proportional to 6,480.56, 8,943.54 and 3,827.72

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Solution

The fourth proportional to 6,480.56, 8,943.54 and 3,827.72 is: 5,282.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,480.56 : 8,943.54 = 3,827.72 : x
  2. Step 2: Convert to fraction form
    6,480.56/8,943.54 = 3,827.72/x
  3. Step 3: Cross multiply
    6,480.56x = 8,943.54 × 3,827.72
  4. Step 4: Simplify right side
    6,480.56x = 34,233,366.93
  5. Step 5: Solve for x
    x = 34,233,366.93/6,480.56
  6. Step 6: Final answer
    x = 5,282.47

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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.