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Finding the Fourth Proportional to 9,516.24, 14,275.17 and 2,496.24

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Solution

The fourth proportional to 9,516.24, 14,275.17 and 2,496.24 is: 3,744.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,516.24 : 14,275.17 = 2,496.24 : x
  2. Step 2: Convert to fraction form
    9,516.24/14,275.17 = 2,496.24/x
  3. Step 3: Cross multiply
    9,516.24x = 14,275.17 × 2,496.24
  4. Step 4: Simplify right side
    9,516.24x = 35,634,250.36
  5. Step 5: Solve for x
    x = 35,634,250.36/9,516.24
  6. Step 6: Final answer
    x = 3,744.57

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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.