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Finding the Fourth Proportional to 9,968.63, 13,756.64 and 5,989.64

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Solution

The fourth proportional to 9,968.63, 13,756.64 and 5,989.64 is: 8,265.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,968.63 : 13,756.64 = 5,989.64 : x
  2. Step 2: Convert to fraction form
    9,968.63/13,756.64 = 5,989.64/x
  3. Step 3: Cross multiply
    9,968.63x = 13,756.64 × 5,989.64
  4. Step 4: Simplify right side
    9,968.63x = 82,397,222.48
  5. Step 5: Solve for x
    x = 82,397,222.48/9,968.63
  6. Step 6: Final answer
    x = 8,265.66

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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.