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Finding the Fourth Proportional to 6,381.34, 9,563.76 and 4,724.68

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Solution

The fourth proportional to 6,381.34, 9,563.76 and 4,724.68 is: 7,080.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,381.34 : 9,563.76 = 4,724.68 : x
  2. Step 2: Convert to fraction form
    6,381.34/9,563.76 = 4,724.68/x
  3. Step 3: Cross multiply
    6,381.34x = 9,563.76 × 4,724.68
  4. Step 4: Simplify right side
    6,381.34x = 45,185,705.60
  5. Step 5: Solve for x
    x = 45,185,705.60/6,381.34
  6. Step 6: Final answer
    x = 7,080.91

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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.