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Finding the Fourth Proportional to 9,697.02, 13,382.01 and 9,361.76

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Solution

The fourth proportional to 9,697.02, 13,382.01 and 9,361.76 is: 12,919.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,697.02 : 13,382.01 = 9,361.76 : x
  2. Step 2: Convert to fraction form
    9,697.02/13,382.01 = 9,361.76/x
  3. Step 3: Cross multiply
    9,697.02x = 13,382.01 × 9,361.76
  4. Step 4: Simplify right side
    9,697.02x = 125,279,099.03
  5. Step 5: Solve for x
    x = 125,279,099.03/9,697.02
  6. Step 6: Final answer
    x = 12,919.34

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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.