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Finding the Fourth Proportional to 6,623.61, 9,141.41 and 3,829.11

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Solution

The fourth proportional to 6,623.61, 9,141.41 and 3,829.11 is: 5,284.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,623.61 : 9,141.41 = 3,829.11 : x
  2. Step 2: Convert to fraction form
    6,623.61/9,141.41 = 3,829.11/x
  3. Step 3: Cross multiply
    6,623.61x = 9,141.41 × 3,829.11
  4. Step 4: Simplify right side
    6,623.61x = 35,003,445.30
  5. Step 5: Solve for x
    x = 35,003,445.30/6,623.61
  6. Step 6: Final answer
    x = 5,284.65

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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.