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Finding the Fourth Proportional to 9,234.77, 13,852.15 and 2,309.27

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Solution

The fourth proportional to 9,234.77, 13,852.15 and 2,309.27 is: 3,463.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,234.77 : 13,852.15 = 2,309.27 : x
  2. Step 2: Convert to fraction form
    9,234.77/13,852.15 = 2,309.27/x
  3. Step 3: Cross multiply
    9,234.77x = 13,852.15 × 2,309.27
  4. Step 4: Simplify right side
    9,234.77x = 31,988,285.17
  5. Step 5: Solve for x
    x = 31,988,285.17/9,234.77
  6. Step 6: Final answer
    x = 3,463.90

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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.