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Finding the Fourth Proportional to 6,281.37, 8,667.65 and 3,629.63

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Solution

The fourth proportional to 6,281.37, 8,667.65 and 3,629.63 is: 5,008.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,281.37 : 8,667.65 = 3,629.63 : x
  2. Step 2: Convert to fraction form
    6,281.37/8,667.65 = 3,629.63/x
  3. Step 3: Cross multiply
    6,281.37x = 8,667.65 × 3,629.63
  4. Step 4: Simplify right side
    6,281.37x = 31,460,344.32
  5. Step 5: Solve for x
    x = 31,460,344.32/6,281.37
  6. Step 6: Final answer
    x = 5,008.52

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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.