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Finding the Fourth Proportional to 9,507.39, 13,114.04 and 5,967.51

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Solution

The fourth proportional to 9,507.39, 13,114.04 and 5,967.51 is: 8,231.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,507.39 : 13,114.04 = 5,967.51 : x
  2. Step 2: Convert to fraction form
    9,507.39/13,114.04 = 5,967.51/x
  3. Step 3: Cross multiply
    9,507.39x = 13,114.04 × 5,967.51
  4. Step 4: Simplify right side
    9,507.39x = 78,258,135.00
  5. Step 5: Solve for x
    x = 78,258,135.00/9,507.39
  6. Step 6: Final answer
    x = 8,231.30

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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.