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Finding the Fourth Proportional to 6,968.03, 9,615.85 and 3,824.21

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Solution

The fourth proportional to 6,968.03, 9,615.85 and 3,824.21 is: 5,277.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,968.03 : 9,615.85 = 3,824.21 : x
  2. Step 2: Convert to fraction form
    6,968.03/9,615.85 = 3,824.21/x
  3. Step 3: Cross multiply
    6,968.03x = 9,615.85 × 3,824.21
  4. Step 4: Simplify right side
    6,968.03x = 36,773,044.21
  5. Step 5: Solve for x
    x = 36,773,044.21/6,968.03
  6. Step 6: Final answer
    x = 5,277.40

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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.