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Finding the Fourth Proportional to 6,815.30, 9,405.13 and 3,790.45

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Solution

The fourth proportional to 6,815.30, 9,405.13 and 3,790.45 is: 5,230.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,815.30 : 9,405.13 = 3,790.45 : x
  2. Step 2: Convert to fraction form
    6,815.30/9,405.13 = 3,790.45/x
  3. Step 3: Cross multiply
    6,815.30x = 9,405.13 × 3,790.45
  4. Step 4: Simplify right side
    6,815.30x = 35,649,642.02
  5. Step 5: Solve for x
    x = 35,649,642.02/6,815.30
  6. Step 6: Final answer
    x = 5,230.83

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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.