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Finding the Fourth Proportional to 6,877.37, 10,295.94 and 6,220.77

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Solution

The fourth proportional to 6,877.37, 10,295.94 and 6,220.77 is: 9,312.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,877.37 : 10,295.94 = 6,220.77 : x
  2. Step 2: Convert to fraction form
    6,877.37/10,295.94 = 6,220.77/x
  3. Step 3: Cross multiply
    6,877.37x = 10,295.94 × 6,220.77
  4. Step 4: Simplify right side
    6,877.37x = 64,048,659.39
  5. Step 5: Solve for x
    x = 64,048,659.39/6,877.37
  6. Step 6: Final answer
    x = 9,312.95

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.