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Finding the Fourth Proportional to 9,969.34, 13,754.16 and 5,989

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Solution

The fourth proportional to 9,969.34, 13,754.16 and 5,989 is: 8,262.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,969.34 : 13,754.16 = 5,989 : x
  2. Step 2: Convert to fraction form
    9,969.34/13,754.16 = 5,989/x
  3. Step 3: Cross multiply
    9,969.34x = 13,754.16 × 5,989
  4. Step 4: Simplify right side
    9,969.34x = 82,373,664.24
  5. Step 5: Solve for x
    x = 82,373,664.24/9,969.34
  6. Step 6: Final answer
    x = 8,262.70

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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.