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Finding the Fourth Proportional to 6,438.32, 9,662.94 and 2,545.46

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Solution

The fourth proportional to 6,438.32, 9,662.94 and 2,545.46 is: 3,820.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,438.32 : 9,662.94 = 2,545.46 : x
  2. Step 2: Convert to fraction form
    6,438.32/9,662.94 = 2,545.46/x
  3. Step 3: Cross multiply
    6,438.32x = 9,662.94 × 2,545.46
  4. Step 4: Simplify right side
    6,438.32x = 24,596,578.94
  5. Step 5: Solve for x
    x = 24,596,578.94/6,438.32
  6. Step 6: Final answer
    x = 3,820.34

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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.