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Finding the Fourth Proportional to 9,174.24, 12,650.94 and 7,852.32

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Solution

The fourth proportional to 9,174.24, 12,650.94 and 7,852.32 is: 10,828.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,174.24 : 12,650.94 = 7,852.32 : x
  2. Step 2: Convert to fraction form
    9,174.24/12,650.94 = 7,852.32/x
  3. Step 3: Cross multiply
    9,174.24x = 12,650.94 × 7,852.32
  4. Step 4: Simplify right side
    9,174.24x = 99,339,229.18
  5. Step 5: Solve for x
    x = 99,339,229.18/9,174.24
  6. Step 6: Final answer
    x = 10,828.06

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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.