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Finding the Fourth Proportional to 6,840.55, 9,439.05 and 3,856.51

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Solution

The fourth proportional to 6,840.55, 9,439.05 and 3,856.51 is: 5,321.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,840.55 : 9,439.05 = 3,856.51 : x
  2. Step 2: Convert to fraction form
    6,840.55/9,439.05 = 3,856.51/x
  3. Step 3: Cross multiply
    6,840.55x = 9,439.05 × 3,856.51
  4. Step 4: Simplify right side
    6,840.55x = 36,401,790.72
  5. Step 5: Solve for x
    x = 36,401,790.72/6,840.55
  6. Step 6: Final answer
    x = 5,321.47

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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.