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Finding the Fourth Proportional to 9,764.46, 14,648.85 and 2,839.50

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Solution

The fourth proportional to 9,764.46, 14,648.85 and 2,839.50 is: 4,259.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,764.46 : 14,648.85 = 2,839.50 : x
  2. Step 2: Convert to fraction form
    9,764.46/14,648.85 = 2,839.50/x
  3. Step 3: Cross multiply
    9,764.46x = 14,648.85 × 2,839.50
  4. Step 4: Simplify right side
    9,764.46x = 41,595,409.58
  5. Step 5: Solve for x
    x = 41,595,409.58/9,764.46
  6. Step 6: Final answer
    x = 4,259.88

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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.