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Finding the Fourth Proportional to 6,969.03, 9,615.67 and 3,984.38

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Solution

The fourth proportional to 6,969.03, 9,615.67 and 3,984.38 is: 5,497.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,969.03 : 9,615.67 = 3,984.38 : x
  2. Step 2: Convert to fraction form
    6,969.03/9,615.67 = 3,984.38/x
  3. Step 3: Cross multiply
    6,969.03x = 9,615.67 × 3,984.38
  4. Step 4: Simplify right side
    6,969.03x = 38,312,483.23
  5. Step 5: Solve for x
    x = 38,312,483.23/6,969.03
  6. Step 6: Final answer
    x = 5,497.53

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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.