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Finding the Fourth Proportional to 9,843.68, 14,765.45 and 3,604.13

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Solution

The fourth proportional to 9,843.68, 14,765.45 and 3,604.13 is: 5,406.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,843.68 : 14,765.45 = 3,604.13 : x
  2. Step 2: Convert to fraction form
    9,843.68/14,765.45 = 3,604.13/x
  3. Step 3: Cross multiply
    9,843.68x = 14,765.45 × 3,604.13
  4. Step 4: Simplify right side
    9,843.68x = 53,216,601.31
  5. Step 5: Solve for x
    x = 53,216,601.31/9,843.68
  6. Step 6: Final answer
    x = 5,406.17

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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.