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Finding the Fourth Proportional to 6,811.63, 9,401.15 and 5,675.49

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Solution

The fourth proportional to 6,811.63, 9,401.15 and 5,675.49 is: 7,833.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,811.63 : 9,401.15 = 5,675.49 : x
  2. Step 2: Convert to fraction form
    6,811.63/9,401.15 = 5,675.49/x
  3. Step 3: Cross multiply
    6,811.63x = 9,401.15 × 5,675.49
  4. Step 4: Simplify right side
    6,811.63x = 53,356,147.00
  5. Step 5: Solve for x
    x = 53,356,147.00/6,811.63
  6. Step 6: Final answer
    x = 7,833.10

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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.