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Finding the Fourth Proportional to 9,758.89, 14,638.32 and 2,833.39

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Solution

The fourth proportional to 9,758.89, 14,638.32 and 2,833.39 is: 4,250.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,758.89 : 14,638.32 = 2,833.39 : x
  2. Step 2: Convert to fraction form
    9,758.89/14,638.32 = 2,833.39/x
  3. Step 3: Cross multiply
    9,758.89x = 14,638.32 × 2,833.39
  4. Step 4: Simplify right side
    9,758.89x = 41,476,069.50
  5. Step 5: Solve for x
    x = 41,476,069.50/9,758.89
  6. Step 6: Final answer
    x = 4,250.08

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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.