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Finding the Fourth Proportional to 6,945.75, 9,585.14 and 3,801.94

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Solution

The fourth proportional to 6,945.75, 9,585.14 and 3,801.94 is: 5,246.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,945.75 : 9,585.14 = 3,801.94 : x
  2. Step 2: Convert to fraction form
    6,945.75/9,585.14 = 3,801.94/x
  3. Step 3: Cross multiply
    6,945.75x = 9,585.14 × 3,801.94
  4. Step 4: Simplify right side
    6,945.75x = 36,442,084.20
  5. Step 5: Solve for x
    x = 36,442,084.20/6,945.75
  6. Step 6: Final answer
    x = 5,246.67

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.