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Finding the Fourth Proportional to 9,474.24, 14,211.36 and 8,760

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Solution

The fourth proportional to 9,474.24, 14,211.36 and 8,760 is: 13,140.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,474.24 : 14,211.36 = 8,760 : x
  2. Step 2: Convert to fraction form
    9,474.24/14,211.36 = 8,760/x
  3. Step 3: Cross multiply
    9,474.24x = 14,211.36 × 8,760
  4. Step 4: Simplify right side
    9,474.24x = 124,491,513.60
  5. Step 5: Solve for x
    x = 124,491,513.60/9,474.24
  6. Step 6: Final answer
    x = 13,140.00

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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.