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Finding the Fourth Proportional to 6,281.70, 8,667.63 and 3,628.14

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Solution

The fourth proportional to 6,281.70, 8,667.63 and 3,628.14 is: 5,006.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,281.70 : 8,667.63 = 3,628.14 : x
  2. Step 2: Convert to fraction form
    6,281.70/8,667.63 = 3,628.14/x
  3. Step 3: Cross multiply
    6,281.70x = 8,667.63 × 3,628.14
  4. Step 4: Simplify right side
    6,281.70x = 31,447,375.11
  5. Step 5: Solve for x
    x = 31,447,375.11/6,281.70
  6. Step 6: Final answer
    x = 5,006.19

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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.