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Finding the Fourth Proportional to 9,605.28, 14,408.48 and 2,679.76

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Solution

The fourth proportional to 9,605.28, 14,408.48 and 2,679.76 is: 4,019.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,605.28 : 14,408.48 = 2,679.76 : x
  2. Step 2: Convert to fraction form
    9,605.28/14,408.48 = 2,679.76/x
  3. Step 3: Cross multiply
    9,605.28x = 14,408.48 × 2,679.76
  4. Step 4: Simplify right side
    9,605.28x = 38,611,268.36
  5. Step 5: Solve for x
    x = 38,611,268.36/9,605.28
  6. Step 6: Final answer
    x = 4,019.80

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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.