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Finding the Fourth Proportional to 9,300.77, 13,951.16 and 4,105.61

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Solution

The fourth proportional to 9,300.77, 13,951.16 and 4,105.61 is: 6,158.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,300.77 : 13,951.16 = 4,105.61 : x
  2. Step 2: Convert to fraction form
    9,300.77/13,951.16 = 4,105.61/x
  3. Step 3: Cross multiply
    9,300.77x = 13,951.16 × 4,105.61
  4. Step 4: Simplify right side
    9,300.77x = 57,278,001.48
  5. Step 5: Solve for x
    x = 57,278,001.48/9,300.77
  6. Step 6: Final answer
    x = 6,158.42

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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.