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Finding the Fourth Proportional to 6,969.95, 9,618.59 and 3,783.27

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Solution

The fourth proportional to 6,969.95, 9,618.59 and 3,783.27 is: 5,220.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,969.95 : 9,618.59 = 3,783.27 : x
  2. Step 2: Convert to fraction form
    6,969.95/9,618.59 = 3,783.27/x
  3. Step 3: Cross multiply
    6,969.95x = 9,618.59 × 3,783.27
  4. Step 4: Simplify right side
    6,969.95x = 36,389,696.38
  5. Step 5: Solve for x
    x = 36,389,696.38/6,969.95
  6. Step 6: Final answer
    x = 5,220.94

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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.