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Finding the Fourth Proportional to 6,968.93, 9,615.78 and 3,985.70

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Solution

The fourth proportional to 6,968.93, 9,615.78 and 3,985.70 is: 5,499.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,968.93 : 9,615.78 = 3,985.70 : x
  2. Step 2: Convert to fraction form
    6,968.93/9,615.78 = 3,985.70/x
  3. Step 3: Cross multiply
    6,968.93x = 9,615.78 × 3,985.70
  4. Step 4: Simplify right side
    6,968.93x = 38,325,566.27
  5. Step 5: Solve for x
    x = 38,325,566.27/6,968.93
  6. Step 6: Final answer
    x = 5,499.49

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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.