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Finding the Fourth Proportional to 6,803.90, 9,389.23 and 3,819.66

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Solution

The fourth proportional to 6,803.90, 9,389.23 and 3,819.66 is: 5,271.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,803.90 : 9,389.23 = 3,819.66 : x
  2. Step 2: Convert to fraction form
    6,803.90/9,389.23 = 3,819.66/x
  3. Step 3: Cross multiply
    6,803.90x = 9,389.23 × 3,819.66
  4. Step 4: Simplify right side
    6,803.90x = 35,863,666.26
  5. Step 5: Solve for x
    x = 35,863,666.26/6,803.90
  6. Step 6: Final answer
    x = 5,271.05

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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.