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Finding the Fourth Proportional to 9,780.75, 14,673.83 and 2,855.25

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Solution

The fourth proportional to 9,780.75, 14,673.83 and 2,855.25 is: 4,283.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,780.75 : 14,673.83 = 2,855.25 : x
  2. Step 2: Convert to fraction form
    9,780.75/14,673.83 = 2,855.25/x
  3. Step 3: Cross multiply
    9,780.75x = 14,673.83 × 2,855.25
  4. Step 4: Simplify right side
    9,780.75x = 41,897,438.83
  5. Step 5: Solve for x
    x = 41,897,438.83/9,780.75
  6. Step 6: Final answer
    x = 4,283.66

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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.