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Finding the Fourth Proportional to 6,535.01, 9,806.06 and 2,837.23

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Solution

The fourth proportional to 6,535.01, 9,806.06 and 2,837.23 is: 4,257.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,535.01 : 9,806.06 = 2,837.23 : x
  2. Step 2: Convert to fraction form
    6,535.01/9,806.06 = 2,837.23/x
  3. Step 3: Cross multiply
    6,535.01x = 9,806.06 × 2,837.23
  4. Step 4: Simplify right side
    6,535.01x = 27,822,030.19
  5. Step 5: Solve for x
    x = 27,822,030.19/6,535.01
  6. Step 6: Final answer
    x = 4,257.38

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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.