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Finding the Fourth Proportional to 6,423.77, 9,635.68 and 1,806.77

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Solution

The fourth proportional to 6,423.77, 9,635.68 and 1,806.77 is: 2,710.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,423.77 : 9,635.68 = 1,806.77 : x
  2. Step 2: Convert to fraction form
    6,423.77/9,635.68 = 1,806.77/x
  3. Step 3: Cross multiply
    6,423.77x = 9,635.68 × 1,806.77
  4. Step 4: Simplify right side
    6,423.77x = 17,409,457.55
  5. Step 5: Solve for x
    x = 17,409,457.55/6,423.77
  6. Step 6: Final answer
    x = 2,710.16

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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.