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Finding the Fourth Proportional to 9,811.94, 14,718.49 and 3,238.18

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Solution

The fourth proportional to 9,811.94, 14,718.49 and 3,238.18 is: 4,857.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,811.94 : 14,718.49 = 3,238.18 : x
  2. Step 2: Convert to fraction form
    9,811.94/14,718.49 = 3,238.18/x
  3. Step 3: Cross multiply
    9,811.94x = 14,718.49 × 3,238.18
  4. Step 4: Simplify right side
    9,811.94x = 47,661,075.06
  5. Step 5: Solve for x
    x = 47,661,075.06/9,811.94
  6. Step 6: Final answer
    x = 4,857.46

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.