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Finding the Fourth Proportional to 9,435.47, 14,153.21 and 2,509.97

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Solution

The fourth proportional to 9,435.47, 14,153.21 and 2,509.97 is: 3,764.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,435.47 : 14,153.21 = 2,509.97 : x
  2. Step 2: Convert to fraction form
    9,435.47/14,153.21 = 2,509.97/x
  3. Step 3: Cross multiply
    9,435.47x = 14,153.21 × 2,509.97
  4. Step 4: Simplify right side
    9,435.47x = 35,524,049.19
  5. Step 5: Solve for x
    x = 35,524,049.19/9,435.47
  6. Step 6: Final answer
    x = 3,764.95

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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.