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Finding the Fourth Proportional to 28,857.16, 43,281.41 and 9,133.16

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Solution

The fourth proportional to 28,857.16, 43,281.41 and 9,133.16 is: 13,698.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,857.16 : 43,281.41 = 9,133.16 : x
  2. Step 2: Convert to fraction form
    28,857.16/43,281.41 = 9,133.16/x
  3. Step 3: Cross multiply
    28,857.16x = 43,281.41 × 9,133.16
  4. Step 4: Simplify right side
    28,857.16x = 395,296,042.56
  5. Step 5: Solve for x
    x = 395,296,042.56/28,857.16
  6. Step 6: Final answer
    x = 13,698.37

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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.