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Finding the Fourth Proportional to 9,648.45, 14,465.12 and 3,809.43

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Solution

The fourth proportional to 9,648.45, 14,465.12 and 3,809.43 is: 5,711.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,648.45 : 14,465.12 = 3,809.43 : x
  2. Step 2: Convert to fraction form
    9,648.45/14,465.12 = 3,809.43/x
  3. Step 3: Cross multiply
    9,648.45x = 14,465.12 × 3,809.43
  4. Step 4: Simplify right side
    9,648.45x = 55,103,843.03
  5. Step 5: Solve for x
    x = 55,103,843.03/9,648.45
  6. Step 6: Final answer
    x = 5,711.16

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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.