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Finding the Fourth Proportional to 9,682.04, 13,369.04 and 7,889.76

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Solution

The fourth proportional to 9,682.04, 13,369.04 and 7,889.76 is: 10,894.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,682.04 : 13,369.04 = 7,889.76 : x
  2. Step 2: Convert to fraction form
    9,682.04/13,369.04 = 7,889.76/x
  3. Step 3: Cross multiply
    9,682.04x = 13,369.04 × 7,889.76
  4. Step 4: Simplify right side
    9,682.04x = 105,478,517.03
  5. Step 5: Solve for x
    x = 105,478,517.03/9,682.04
  6. Step 6: Final answer
    x = 10,894.25

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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.