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Finding the Fourth Proportional to 9,735.36, 14,610.08 and 3,893.60

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Solution

The fourth proportional to 9,735.36, 14,610.08 and 3,893.60 is: 5,843.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,735.36 : 14,610.08 = 3,893.60 : x
  2. Step 2: Convert to fraction form
    9,735.36/14,610.08 = 3,893.60/x
  3. Step 3: Cross multiply
    9,735.36x = 14,610.08 × 3,893.60
  4. Step 4: Simplify right side
    9,735.36x = 56,885,807.49
  5. Step 5: Solve for x
    x = 56,885,807.49/9,735.36
  6. Step 6: Final answer
    x = 5,843.22

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.