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Finding the Fourth Proportional to 28,313.48, 42,469.74 and 9,845

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Solution

The fourth proportional to 28,313.48, 42,469.74 and 9,845 is: 14,767.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,313.48 : 42,469.74 = 9,845 : x
  2. Step 2: Convert to fraction form
    28,313.48/42,469.74 = 9,845/x
  3. Step 3: Cross multiply
    28,313.48x = 42,469.74 × 9,845
  4. Step 4: Simplify right side
    28,313.48x = 418,114,590.30
  5. Step 5: Solve for x
    x = 418,114,590.30/28,313.48
  6. Step 6: Final answer
    x = 14,767.33

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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.