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Finding the Fourth Proportional to 6,627.49, 9,941.25 and 3,114.92

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Solution

The fourth proportional to 6,627.49, 9,941.25 and 3,114.92 is: 4,672.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,627.49 : 9,941.25 = 3,114.92 : x
  2. Step 2: Convert to fraction form
    6,627.49/9,941.25 = 3,114.92/x
  3. Step 3: Cross multiply
    6,627.49x = 9,941.25 × 3,114.92
  4. Step 4: Simplify right side
    6,627.49x = 30,966,198.45
  5. Step 5: Solve for x
    x = 30,966,198.45/6,627.49
  6. Step 6: Final answer
    x = 4,672.39

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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.