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Finding the Fourth Proportional to 9,893.57, 14,847.62 and 7,969.01

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Solution

The fourth proportional to 9,893.57, 14,847.62 and 7,969.01 is: 11,959.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,893.57 : 14,847.62 = 7,969.01 : x
  2. Step 2: Convert to fraction form
    9,893.57/14,847.62 = 7,969.01/x
  3. Step 3: Cross multiply
    9,893.57x = 14,847.62 × 7,969.01
  4. Step 4: Simplify right side
    9,893.57x = 118,320,792.41
  5. Step 5: Solve for x
    x = 118,320,792.41/9,893.57
  6. Step 6: Final answer
    x = 11,959.36

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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.