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Finding the Fourth Proportional to 6,341.63, 9,512.47 and 2,237.63

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Solution

The fourth proportional to 6,341.63, 9,512.47 and 2,237.63 is: 3,356.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,341.63 : 9,512.47 = 2,237.63 : x
  2. Step 2: Convert to fraction form
    6,341.63/9,512.47 = 2,237.63/x
  3. Step 3: Cross multiply
    6,341.63x = 9,512.47 × 2,237.63
  4. Step 4: Simplify right side
    6,341.63x = 21,285,335.09
  5. Step 5: Solve for x
    x = 21,285,335.09/6,341.63
  6. Step 6: Final answer
    x = 3,356.45

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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.