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Finding the Fourth Proportional to 6,340.56, 9,512.46 and 3,710.27

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Solution

The fourth proportional to 6,340.56, 9,512.46 and 3,710.27 is: 5,566.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,340.56 : 9,512.46 = 3,710.27 : x
  2. Step 2: Convert to fraction form
    6,340.56/9,512.46 = 3,710.27/x
  3. Step 3: Cross multiply
    6,340.56x = 9,512.46 × 3,710.27
  4. Step 4: Simplify right side
    6,340.56x = 35,293,776.41
  5. Step 5: Solve for x
    x = 35,293,776.41/6,340.56
  6. Step 6: Final answer
    x = 5,566.35

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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.