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Finding the Fourth Proportional to 6,352.31, 8,771.94 and 4,117.92

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Solution

The fourth proportional to 6,352.31, 8,771.94 and 4,117.92 is: 5,686.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,352.31 : 8,771.94 = 4,117.92 : x
  2. Step 2: Convert to fraction form
    6,352.31/8,771.94 = 4,117.92/x
  3. Step 3: Cross multiply
    6,352.31x = 8,771.94 × 4,117.92
  4. Step 4: Simplify right side
    6,352.31x = 36,122,147.16
  5. Step 5: Solve for x
    x = 36,122,147.16/6,352.31
  6. Step 6: Final answer
    x = 5,686.46

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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.