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Finding the Fourth Proportional to 6,835.88, 9,433.56 and 4,004.93

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Solution

The fourth proportional to 6,835.88, 9,433.56 and 4,004.93 is: 5,526.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,835.88 : 9,433.56 = 4,004.93 : x
  2. Step 2: Convert to fraction form
    6,835.88/9,433.56 = 4,004.93/x
  3. Step 3: Cross multiply
    6,835.88x = 9,433.56 × 4,004.93
  4. Step 4: Simplify right side
    6,835.88x = 37,780,786.05
  5. Step 5: Solve for x
    x = 37,780,786.05/6,835.88
  6. Step 6: Final answer
    x = 5,526.83

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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.