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Finding the Fourth Proportional to 9,761.27, 14,642.03 and 3,436.34

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Solution

The fourth proportional to 9,761.27, 14,642.03 and 3,436.34 is: 5,154.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,761.27 : 14,642.03 = 3,436.34 : x
  2. Step 2: Convert to fraction form
    9,761.27/14,642.03 = 3,436.34/x
  3. Step 3: Cross multiply
    9,761.27x = 14,642.03 × 3,436.34
  4. Step 4: Simplify right side
    9,761.27x = 50,315,038.57
  5. Step 5: Solve for x
    x = 50,315,038.57/9,761.27
  6. Step 6: Final answer
    x = 5,154.56

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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.