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Finding the Fourth Proportional to 9,735.72, 13,434.84 and 5,486.82

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Solution

The fourth proportional to 9,735.72, 13,434.84 and 5,486.82 is: 7,571.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,735.72 : 13,434.84 = 5,486.82 : x
  2. Step 2: Convert to fraction form
    9,735.72/13,434.84 = 5,486.82/x
  3. Step 3: Cross multiply
    9,735.72x = 13,434.84 × 5,486.82
  4. Step 4: Simplify right side
    9,735.72x = 73,714,548.81
  5. Step 5: Solve for x
    x = 73,714,548.81/9,735.72
  6. Step 6: Final answer
    x = 7,571.56

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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.