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Finding the Fourth Proportional to 9,758.63, 14,638.34 and 2,833.13

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Solution

The fourth proportional to 9,758.63, 14,638.34 and 2,833.13 is: 4,249.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,758.63 : 14,638.34 = 2,833.13 : x
  2. Step 2: Convert to fraction form
    9,758.63/14,638.34 = 2,833.13/x
  3. Step 3: Cross multiply
    9,758.63x = 14,638.34 × 2,833.13
  4. Step 4: Simplify right side
    9,758.63x = 41,472,254.10
  5. Step 5: Solve for x
    x = 41,472,254.10/9,758.63
  6. Step 6: Final answer
    x = 4,249.81

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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.