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Finding the Fourth Proportional to 9,507.64, 13,114.36 and 5,967.76

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Solution

The fourth proportional to 9,507.64, 13,114.36 and 5,967.76 is: 8,231.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,507.64 : 13,114.36 = 5,967.76 : x
  2. Step 2: Convert to fraction form
    9,507.64/13,114.36 = 5,967.76/x
  3. Step 3: Cross multiply
    9,507.64x = 13,114.36 × 5,967.76
  4. Step 4: Simplify right side
    9,507.64x = 78,263,353.03
  5. Step 5: Solve for x
    x = 78,263,353.03/9,507.64
  6. Step 6: Final answer
    x = 8,231.63

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