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Finding the Fourth Proportional to 9,411.68, 14,119.92 and 2,838.44

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Solution

The fourth proportional to 9,411.68, 14,119.92 and 2,838.44 is: 4,258.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,411.68 : 14,119.92 = 2,838.44 : x
  2. Step 2: Convert to fraction form
    9,411.68/14,119.92 = 2,838.44/x
  3. Step 3: Cross multiply
    9,411.68x = 14,119.92 × 2,838.44
  4. Step 4: Simplify right side
    9,411.68x = 40,078,545.72
  5. Step 5: Solve for x
    x = 40,078,545.72/9,411.68
  6. Step 6: Final answer
    x = 4,258.38

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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.