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Finding the Fourth Proportional to 6,429.46, 9,647.84 and 2,536.60

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Solution

The fourth proportional to 6,429.46, 9,647.84 and 2,536.60 is: 3,806.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,429.46 : 9,647.84 = 2,536.60 : x
  2. Step 2: Convert to fraction form
    6,429.46/9,647.84 = 2,536.60/x
  3. Step 3: Cross multiply
    6,429.46x = 9,647.84 × 2,536.60
  4. Step 4: Simplify right side
    6,429.46x = 24,472,710.94
  5. Step 5: Solve for x
    x = 24,472,710.94/6,429.46
  6. Step 6: Final answer
    x = 3,806.34

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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.