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Finding the Fourth Proportional to 9,289.92, 12,822.33 and 5,751

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Solution

The fourth proportional to 9,289.92, 12,822.33 and 5,751 is: 7,937.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,289.92 : 12,822.33 = 5,751 : x
  2. Step 2: Convert to fraction form
    9,289.92/12,822.33 = 5,751/x
  3. Step 3: Cross multiply
    9,289.92x = 12,822.33 × 5,751
  4. Step 4: Simplify right side
    9,289.92x = 73,741,219.83
  5. Step 5: Solve for x
    x = 73,741,219.83/9,289.92
  6. Step 6: Final answer
    x = 7,937.77

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.