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Finding the Fourth Proportional to 6,254.41, 9,381.63 and 2,556.64

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Solution

The fourth proportional to 6,254.41, 9,381.63 and 2,556.64 is: 3,834.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,254.41 : 9,381.63 = 2,556.64 : x
  2. Step 2: Convert to fraction form
    6,254.41/9,381.63 = 2,556.64/x
  3. Step 3: Cross multiply
    6,254.41x = 9,381.63 × 2,556.64
  4. Step 4: Simplify right side
    6,254.41x = 23,985,427.07
  5. Step 5: Solve for x
    x = 23,985,427.07/6,254.41
  6. Step 6: Final answer
    x = 3,834.96

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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.