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Finding the Fourth Proportional to 9,504.09, 13,095.95 and 8,082.81

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Solution

The fourth proportional to 9,504.09, 13,095.95 and 8,082.81 is: 11,137.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,504.09 : 13,095.95 = 8,082.81 : x
  2. Step 2: Convert to fraction form
    9,504.09/13,095.95 = 8,082.81/x
  3. Step 3: Cross multiply
    9,504.09x = 13,095.95 × 8,082.81
  4. Step 4: Simplify right side
    9,504.09x = 105,852,035.21
  5. Step 5: Solve for x
    x = 105,852,035.21/9,504.09
  6. Step 6: Final answer
    x = 11,137.52

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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.