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Finding the Fourth Proportional to 6,294.26, 8,686.31 and 3,461.76

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Solution

The fourth proportional to 6,294.26, 8,686.31 and 3,461.76 is: 4,777.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,294.26 : 8,686.31 = 3,461.76 : x
  2. Step 2: Convert to fraction form
    6,294.26/8,686.31 = 3,461.76/x
  3. Step 3: Cross multiply
    6,294.26x = 8,686.31 × 3,461.76
  4. Step 4: Simplify right side
    6,294.26x = 30,069,956.84
  5. Step 5: Solve for x
    x = 30,069,956.84/6,294.26
  6. Step 6: Final answer
    x = 4,777.36

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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.