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Finding the Fourth Proportional to 9,846.51, 14,768.38 and 2,827.14

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Solution

The fourth proportional to 9,846.51, 14,768.38 and 2,827.14 is: 4,240.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,846.51 : 14,768.38 = 2,827.14 : x
  2. Step 2: Convert to fraction form
    9,846.51/14,768.38 = 2,827.14/x
  3. Step 3: Cross multiply
    9,846.51x = 14,768.38 × 2,827.14
  4. Step 4: Simplify right side
    9,846.51x = 41,752,277.83
  5. Step 5: Solve for x
    x = 41,752,277.83/9,846.51
  6. Step 6: Final answer
    x = 4,240.31

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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.