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Finding the Fourth Proportional to 6,422.96, 8,862.75 and 3,771.23

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Solution

The fourth proportional to 6,422.96, 8,862.75 and 3,771.23 is: 5,203.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,422.96 : 8,862.75 = 3,771.23 : x
  2. Step 2: Convert to fraction form
    6,422.96/8,862.75 = 3,771.23/x
  3. Step 3: Cross multiply
    6,422.96x = 8,862.75 × 3,771.23
  4. Step 4: Simplify right side
    6,422.96x = 33,423,424.37
  5. Step 5: Solve for x
    x = 33,423,424.37/6,422.96
  6. Step 6: Final answer
    x = 5,203.74

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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.