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Finding the Fourth Proportional to 8,261.95, 12,381.27 and 6,404.37

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Solution

The fourth proportional to 8,261.95, 12,381.27 and 6,404.37 is: 9,597.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,261.95 : 12,381.27 = 6,404.37 : x
  2. Step 2: Convert to fraction form
    8,261.95/12,381.27 = 6,404.37/x
  3. Step 3: Cross multiply
    8,261.95x = 12,381.27 × 6,404.37
  4. Step 4: Simplify right side
    8,261.95x = 79,294,234.15
  5. Step 5: Solve for x
    x = 79,294,234.15/8,261.95
  6. Step 6: Final answer
    x = 9,597.52

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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.