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Finding the Fourth Proportional to 9,082.60, 13,623.90 and 2,843.13

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Solution

The fourth proportional to 9,082.60, 13,623.90 and 2,843.13 is: 4,264.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,082.60 : 13,623.90 = 2,843.13 : x
  2. Step 2: Convert to fraction form
    9,082.60/13,623.90 = 2,843.13/x
  3. Step 3: Cross multiply
    9,082.60x = 13,623.90 × 2,843.13
  4. Step 4: Simplify right side
    9,082.60x = 38,734,518.81
  5. Step 5: Solve for x
    x = 38,734,518.81/9,082.60
  6. Step 6: Final answer
    x = 4,264.70

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.