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Finding the Fourth Proportional to 6,566.73, 9,065.40 and 4,179.12

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Solution

The fourth proportional to 6,566.73, 9,065.40 and 4,179.12 is: 5,769.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,566.73 : 9,065.40 = 4,179.12 : x
  2. Step 2: Convert to fraction form
    6,566.73/9,065.40 = 4,179.12/x
  3. Step 3: Cross multiply
    6,566.73x = 9,065.40 × 4,179.12
  4. Step 4: Simplify right side
    6,566.73x = 37,885,394.45
  5. Step 5: Solve for x
    x = 37,885,394.45/6,566.73
  6. Step 6: Final answer
    x = 5,769.29

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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.