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Finding the Fourth Proportional to 9,773.24, 14,660.10 and 3,205.40

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Solution

The fourth proportional to 9,773.24, 14,660.10 and 3,205.40 is: 4,808.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,773.24 : 14,660.10 = 3,205.40 : x
  2. Step 2: Convert to fraction form
    9,773.24/14,660.10 = 3,205.40/x
  3. Step 3: Cross multiply
    9,773.24x = 14,660.10 × 3,205.40
  4. Step 4: Simplify right side
    9,773.24x = 46,991,484.54
  5. Step 5: Solve for x
    x = 46,991,484.54/9,773.24
  6. Step 6: Final answer
    x = 4,808.18

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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.