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Finding the Fourth Proportional to 9,504, 13,115.52 and 5,778

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Solution

The fourth proportional to 9,504, 13,115.52 and 5,778 is: 7,973.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,504 : 13,115.52 = 5,778 : x
  2. Step 2: Convert to fraction form
    9,504/13,115.52 = 5,778/x
  3. Step 3: Cross multiply
    9,504x = 13,115.52 × 5,778
  4. Step 4: Simplify right side
    9,504x = 75,781,474.56
  5. Step 5: Solve for x
    x = 75,781,474.56/9,504
  6. Step 6: Final answer
    x = 7,973.64

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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.