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Finding the Fourth Proportional to 6,945.69, 9,585.21 and 3,801.89

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Solution

The fourth proportional to 6,945.69, 9,585.21 and 3,801.89 is: 5,246.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,945.69 : 9,585.21 = 3,801.89 : x
  2. Step 2: Convert to fraction form
    6,945.69/9,585.21 = 3,801.89/x
  3. Step 3: Cross multiply
    6,945.69x = 9,585.21 × 3,801.89
  4. Step 4: Simplify right side
    6,945.69x = 36,441,866.12
  5. Step 5: Solve for x
    x = 36,441,866.12/6,945.69
  6. Step 6: Final answer
    x = 5,246.69

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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.