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Finding the Fourth Proportional to 6,315.25, 9,472.91 and 1,634.93

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Solution

The fourth proportional to 6,315.25, 9,472.91 and 1,634.93 is: 2,452.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,315.25 : 9,472.91 = 1,634.93 : x
  2. Step 2: Convert to fraction form
    6,315.25/9,472.91 = 1,634.93/x
  3. Step 3: Cross multiply
    6,315.25x = 9,472.91 × 1,634.93
  4. Step 4: Simplify right side
    6,315.25x = 15,487,589.51
  5. Step 5: Solve for x
    x = 15,487,589.51/6,315.25
  6. Step 6: Final answer
    x = 2,452.41

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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.