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Finding the Fourth Proportional to 9,796.34, 13,521.80 and 5,969.36

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Solution

The fourth proportional to 9,796.34, 13,521.80 and 5,969.36 is: 8,239.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,796.34 : 13,521.80 = 5,969.36 : x
  2. Step 2: Convert to fraction form
    9,796.34/13,521.80 = 5,969.36/x
  3. Step 3: Cross multiply
    9,796.34x = 13,521.80 × 5,969.36
  4. Step 4: Simplify right side
    9,796.34x = 80,716,492.05
  5. Step 5: Solve for x
    x = 80,716,492.05/9,796.34
  6. Step 6: Final answer
    x = 8,239.45

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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.