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Finding the Fourth Proportional to 6,424.36, 9,636.06 and 1,806.76

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Solution

The fourth proportional to 6,424.36, 9,636.06 and 1,806.76 is: 2,710.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,424.36 : 9,636.06 = 1,806.76 : x
  2. Step 2: Convert to fraction form
    6,424.36/9,636.06 = 1,806.76/x
  3. Step 3: Cross multiply
    6,424.36x = 9,636.06 × 1,806.76
  4. Step 4: Simplify right side
    6,424.36x = 17,410,047.77
  5. Step 5: Solve for x
    x = 17,410,047.77/6,424.36
  6. Step 6: Final answer
    x = 2,710.01

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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.