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Finding the Fourth Proportional to 9,391.92, 14,095.02 and 3,474.40

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Solution

The fourth proportional to 9,391.92, 14,095.02 and 3,474.40 is: 5,214.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,391.92 : 14,095.02 = 3,474.40 : x
  2. Step 2: Convert to fraction form
    9,391.92/14,095.02 = 3,474.40/x
  3. Step 3: Cross multiply
    9,391.92x = 14,095.02 × 3,474.40
  4. Step 4: Simplify right side
    9,391.92x = 48,971,737.49
  5. Step 5: Solve for x
    x = 48,971,737.49/9,391.92
  6. Step 6: Final answer
    x = 5,214.24

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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.