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Finding the Fourth Proportional to 9,508.74, 13,121.97 and 5,316.98

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Solution

The fourth proportional to 9,508.74, 13,121.97 and 5,316.98 is: 7,337.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,508.74 : 13,121.97 = 5,316.98 : x
  2. Step 2: Convert to fraction form
    9,508.74/13,121.97 = 5,316.98/x
  3. Step 3: Cross multiply
    9,508.74x = 13,121.97 × 5,316.98
  4. Step 4: Simplify right side
    9,508.74x = 69,769,252.05
  5. Step 5: Solve for x
    x = 69,769,252.05/9,508.74
  6. Step 6: Final answer
    x = 7,337.38

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Why These Related Problems?

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