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Finding the Fourth Proportional to 9,516.69, 14,279.13 and 5,129.01

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Solution

The fourth proportional to 9,516.69, 14,279.13 and 5,129.01 is: 7,695.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,516.69 : 14,279.13 = 5,129.01 : x
  2. Step 2: Convert to fraction form
    9,516.69/14,279.13 = 5,129.01/x
  3. Step 3: Cross multiply
    9,516.69x = 14,279.13 × 5,129.01
  4. Step 4: Simplify right side
    9,516.69x = 73,237,800.56
  5. Step 5: Solve for x
    x = 73,237,800.56/9,516.69
  6. Step 6: Final answer
    x = 7,695.72

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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.