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Finding the Fourth Proportional to 9,715.26, 13,406.94 and 5,523.24

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Solution

The fourth proportional to 9,715.26, 13,406.94 and 5,523.24 is: 7,622.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,715.26 : 13,406.94 = 5,523.24 : x
  2. Step 2: Convert to fraction form
    9,715.26/13,406.94 = 5,523.24/x
  3. Step 3: Cross multiply
    9,715.26x = 13,406.94 × 5,523.24
  4. Step 4: Simplify right side
    9,715.26x = 74,049,747.29
  5. Step 5: Solve for x
    x = 74,049,747.29/9,715.26
  6. Step 6: Final answer
    x = 7,622.00

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.