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Finding the Fourth Proportional to 6,414.72, 9,623.45 and 2,032.53

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Solution

The fourth proportional to 6,414.72, 9,623.45 and 2,032.53 is: 3,049.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,414.72 : 9,623.45 = 2,032.53 : x
  2. Step 2: Convert to fraction form
    6,414.72/9,623.45 = 2,032.53/x
  3. Step 3: Cross multiply
    6,414.72x = 9,623.45 × 2,032.53
  4. Step 4: Simplify right side
    6,414.72x = 19,559,950.83
  5. Step 5: Solve for x
    x = 19,559,950.83/6,414.72
  6. Step 6: Final answer
    x = 3,049.23

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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.