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Finding the Fourth Proportional to 9,174.72, 12,648.32 and 7,842.56

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Solution

The fourth proportional to 9,174.72, 12,648.32 and 7,842.56 is: 10,811.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,174.72 : 12,648.32 = 7,842.56 : x
  2. Step 2: Convert to fraction form
    9,174.72/12,648.32 = 7,842.56/x
  3. Step 3: Cross multiply
    9,174.72x = 12,648.32 × 7,842.56
  4. Step 4: Simplify right side
    9,174.72x = 99,195,208.50
  5. Step 5: Solve for x
    x = 99,195,208.50/9,174.72
  6. Step 6: Final answer
    x = 10,811.80

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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.