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Finding the Fourth Proportional to 9,085.18, 13,633.04 and 3,819.80

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Solution

The fourth proportional to 9,085.18, 13,633.04 and 3,819.80 is: 5,731.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,085.18 : 13,633.04 = 3,819.80 : x
  2. Step 2: Convert to fraction form
    9,085.18/13,633.04 = 3,819.80/x
  3. Step 3: Cross multiply
    9,085.18x = 13,633.04 × 3,819.80
  4. Step 4: Simplify right side
    9,085.18x = 52,075,486.19
  5. Step 5: Solve for x
    x = 52,075,486.19/9,085.18
  6. Step 6: Final answer
    x = 5,731.92

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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.