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Finding the Fourth Proportional to 9,267.96, 13,895.74 and 5,109.96

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Solution

The fourth proportional to 9,267.96, 13,895.74 and 5,109.96 is: 7,661.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,267.96 : 13,895.74 = 5,109.96 : x
  2. Step 2: Convert to fraction form
    9,267.96/13,895.74 = 5,109.96/x
  3. Step 3: Cross multiply
    9,267.96x = 13,895.74 × 5,109.96
  4. Step 4: Simplify right side
    9,267.96x = 71,006,675.57
  5. Step 5: Solve for x
    x = 71,006,675.57/9,267.96
  6. Step 6: Final answer
    x = 7,661.52

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.