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Finding the Fourth Proportional to 6,315.57, 9,462.56 and 3,540.51

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Solution

The fourth proportional to 6,315.57, 9,462.56 and 3,540.51 is: 5,304.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,315.57 : 9,462.56 = 3,540.51 : x
  2. Step 2: Convert to fraction form
    6,315.57/9,462.56 = 3,540.51/x
  3. Step 3: Cross multiply
    6,315.57x = 9,462.56 × 3,540.51
  4. Step 4: Simplify right side
    6,315.57x = 33,502,240.99
  5. Step 5: Solve for x
    x = 33,502,240.99/6,315.57
  6. Step 6: Final answer
    x = 5,304.71

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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.