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Finding the Fourth Proportional to 28,285.38, 42,429.42 and 9,311.22

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Solution

The fourth proportional to 28,285.38, 42,429.42 and 9,311.22 is: 13,967.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,285.38 : 42,429.42 = 9,311.22 : x
  2. Step 2: Convert to fraction form
    28,285.38/42,429.42 = 9,311.22/x
  3. Step 3: Cross multiply
    28,285.38x = 42,429.42 × 9,311.22
  4. Step 4: Simplify right side
    28,285.38x = 395,069,664.09
  5. Step 5: Solve for x
    x = 395,069,664.09/28,285.38
  6. Step 6: Final answer
    x = 13,967.27

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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.