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Finding the Fourth Proportional to 9,693.77, 14,542.88 and 2,768.27

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Solution

The fourth proportional to 9,693.77, 14,542.88 and 2,768.27 is: 4,153.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,693.77 : 14,542.88 = 2,768.27 : x
  2. Step 2: Convert to fraction form
    9,693.77/14,542.88 = 2,768.27/x
  3. Step 3: Cross multiply
    9,693.77x = 14,542.88 × 2,768.27
  4. Step 4: Simplify right side
    9,693.77x = 40,258,531.86
  5. Step 5: Solve for x
    x = 40,258,531.86/9,693.77
  6. Step 6: Final answer
    x = 4,153.03

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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.