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Finding the Fourth Proportional to 28,292.86, 42,443.76 and 9,311.56

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Solution

The fourth proportional to 28,292.86, 42,443.76 and 9,311.56 is: 13,968.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,292.86 : 42,443.76 = 9,311.56 : x
  2. Step 2: Convert to fraction form
    28,292.86/42,443.76 = 9,311.56/x
  3. Step 3: Cross multiply
    28,292.86x = 42,443.76 × 9,311.56
  4. Step 4: Simplify right side
    28,292.86x = 395,217,617.87
  5. Step 5: Solve for x
    x = 395,217,617.87/28,292.86
  6. Step 6: Final answer
    x = 13,968.81

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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.