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Finding the Fourth Proportional to 9,675.63, 14,513.81 and 3,012.82

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Solution

The fourth proportional to 9,675.63, 14,513.81 and 3,012.82 is: 4,519.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,675.63 : 14,513.81 = 3,012.82 : x
  2. Step 2: Convert to fraction form
    9,675.63/14,513.81 = 3,012.82/x
  3. Step 3: Cross multiply
    9,675.63x = 14,513.81 × 3,012.82
  4. Step 4: Simplify right side
    9,675.63x = 43,727,445.70
  5. Step 5: Solve for x
    x = 43,727,445.70/9,675.63
  6. Step 6: Final answer
    x = 4,519.34

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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.