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Finding the Fourth Proportional to 6,968.95, 9,617.31 and 3,985.06

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Solution

The fourth proportional to 6,968.95, 9,617.31 and 3,985.06 is: 5,499.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,968.95 : 9,617.31 = 3,985.06 : x
  2. Step 2: Convert to fraction form
    6,968.95/9,617.31 = 3,985.06/x
  3. Step 3: Cross multiply
    6,968.95x = 9,617.31 × 3,985.06
  4. Step 4: Simplify right side
    6,968.95x = 38,325,489.38
  5. Step 5: Solve for x
    x = 38,325,489.38/6,968.95
  6. Step 6: Final answer
    x = 5,499.47

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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.