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Finding the Fourth Proportional to 28,285.63, 42,428.57 and 9,565.77

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Solution

The fourth proportional to 28,285.63, 42,428.57 and 9,565.77 is: 14,348.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,285.63 : 42,428.57 = 9,565.77 : x
  2. Step 2: Convert to fraction form
    28,285.63/42,428.57 = 9,565.77/x
  3. Step 3: Cross multiply
    28,285.63x = 42,428.57 × 9,565.77
  4. Step 4: Simplify right side
    28,285.63x = 405,861,942.05
  5. Step 5: Solve for x
    x = 405,861,942.05/28,285.63
  6. Step 6: Final answer
    x = 14,348.70

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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.