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Finding the Fourth Proportional to 6,765.41, 9,330.20 and 5,634.83

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Solution

The fourth proportional to 6,765.41, 9,330.20 and 5,634.83 is: 7,771.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,765.41 : 9,330.20 = 5,634.83 : x
  2. Step 2: Convert to fraction form
    6,765.41/9,330.20 = 5,634.83/x
  3. Step 3: Cross multiply
    6,765.41x = 9,330.20 × 5,634.83
  4. Step 4: Simplify right side
    6,765.41x = 52,574,100.10
  5. Step 5: Solve for x
    x = 52,574,100.10/6,765.41
  6. Step 6: Final answer
    x = 7,771.02

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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.