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Finding the Fourth Proportional to 9,761.28, 14,641.79 and 2,365.80

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Solution

The fourth proportional to 9,761.28, 14,641.79 and 2,365.80 is: 3,548.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,761.28 : 14,641.79 = 2,365.80 : x
  2. Step 2: Convert to fraction form
    9,761.28/14,641.79 = 2,365.80/x
  3. Step 3: Cross multiply
    9,761.28x = 14,641.79 × 2,365.80
  4. Step 4: Simplify right side
    9,761.28x = 34,639,534.95
  5. Step 5: Solve for x
    x = 34,639,534.95/9,761.28
  6. Step 6: Final answer
    x = 3,548.67

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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.