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Finding the Fourth Proportional to 6,815.13, 9,405.08 and 4,020.63

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Solution

The fourth proportional to 6,815.13, 9,405.08 and 4,020.63 is: 5,548.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,815.13 : 9,405.08 = 4,020.63 : x
  2. Step 2: Convert to fraction form
    6,815.13/9,405.08 = 4,020.63/x
  3. Step 3: Cross multiply
    6,815.13x = 9,405.08 × 4,020.63
  4. Step 4: Simplify right side
    6,815.13x = 37,814,346.80
  5. Step 5: Solve for x
    x = 37,814,346.80/6,815.13
  6. Step 6: Final answer
    x = 5,548.59

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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.