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Finding the Fourth Proportional to 12,784.37, 17,647.22 and 9,453.98

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Solution

The fourth proportional to 12,784.37, 17,647.22 and 9,453.98 is: 13,050.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,784.37 : 17,647.22 = 9,453.98 : x
  2. Step 2: Convert to fraction form
    12,784.37/17,647.22 = 9,453.98/x
  3. Step 3: Cross multiply
    12,784.37x = 17,647.22 × 9,453.98
  4. Step 4: Simplify right side
    12,784.37x = 166,836,532.69
  5. Step 5: Solve for x
    x = 166,836,532.69/12,784.37
  6. Step 6: Final answer
    x = 13,050.04

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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.