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Finding the Fourth Proportional to 9,452.16, 13,021.42 and 6,614.24

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Solution

The fourth proportional to 9,452.16, 13,021.42 and 6,614.24 is: 9,111.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,452.16 : 13,021.42 = 6,614.24 : x
  2. Step 2: Convert to fraction form
    9,452.16/13,021.42 = 6,614.24/x
  3. Step 3: Cross multiply
    9,452.16x = 13,021.42 × 6,614.24
  4. Step 4: Simplify right side
    9,452.16x = 86,126,797.02
  5. Step 5: Solve for x
    x = 86,126,797.02/9,452.16
  6. Step 6: Final answer
    x = 9,111.86

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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.