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Finding the Fourth Proportional to 6,272.63, 9,409.31 and 4,512.80

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Solution

The fourth proportional to 6,272.63, 9,409.31 and 4,512.80 is: 6,769.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,272.63 : 9,409.31 = 4,512.80 : x
  2. Step 2: Convert to fraction form
    6,272.63/9,409.31 = 4,512.80/x
  3. Step 3: Cross multiply
    6,272.63x = 9,409.31 × 4,512.80
  4. Step 4: Simplify right side
    6,272.63x = 42,462,334.17
  5. Step 5: Solve for x
    x = 42,462,334.17/6,272.63
  6. Step 6: Final answer
    x = 6,769.46

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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.