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Finding the Fourth Proportional to 6,549.84, 9,039.15 and 3,861.96

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Solution

The fourth proportional to 6,549.84, 9,039.15 and 3,861.96 is: 5,329.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,549.84 : 9,039.15 = 3,861.96 : x
  2. Step 2: Convert to fraction form
    6,549.84/9,039.15 = 3,861.96/x
  3. Step 3: Cross multiply
    6,549.84x = 9,039.15 × 3,861.96
  4. Step 4: Simplify right side
    6,549.84x = 34,908,835.73
  5. Step 5: Solve for x
    x = 34,908,835.73/6,549.84
  6. Step 6: Final answer
    x = 5,329.72

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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.