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Finding the Fourth Proportional to 6,967.51, 9,615.32 and 3,983.62

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Solution

The fourth proportional to 6,967.51, 9,615.32 and 3,983.62 is: 5,497.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,967.51 : 9,615.32 = 3,983.62 : x
  2. Step 2: Convert to fraction form
    6,967.51/9,615.32 = 3,983.62/x
  3. Step 3: Cross multiply
    6,967.51x = 9,615.32 × 3,983.62
  4. Step 4: Simplify right side
    6,967.51x = 38,303,791.02
  5. Step 5: Solve for x
    x = 38,303,791.02/6,967.51
  6. Step 6: Final answer
    x = 5,497.49

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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.