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Finding the Fourth Proportional to 9,697.44, 13,383.72 and 5,507.04

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Solution

The fourth proportional to 9,697.44, 13,383.72 and 5,507.04 is: 7,600.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,697.44 : 13,383.72 = 5,507.04 : x
  2. Step 2: Convert to fraction form
    9,697.44/13,383.72 = 5,507.04/x
  3. Step 3: Cross multiply
    9,697.44x = 13,383.72 × 5,507.04
  4. Step 4: Simplify right side
    9,697.44x = 73,704,681.39
  5. Step 5: Solve for x
    x = 73,704,681.39/9,697.44
  6. Step 6: Final answer
    x = 7,600.43

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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.