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Finding the Fourth Proportional to 9,783.31, 14,675.85 and 2,763.42

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Solution

The fourth proportional to 9,783.31, 14,675.85 and 2,763.42 is: 4,145.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,783.31 : 14,675.85 = 2,763.42 : x
  2. Step 2: Convert to fraction form
    9,783.31/14,675.85 = 2,763.42/x
  3. Step 3: Cross multiply
    9,783.31x = 14,675.85 × 2,763.42
  4. Step 4: Simplify right side
    9,783.31x = 40,555,537.41
  5. Step 5: Solve for x
    x = 40,555,537.41/9,783.31
  6. Step 6: Final answer
    x = 4,145.38

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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.