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Finding the Fourth Proportional to 9,423.60, 14,124.60 and 3,874.20

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Solution

The fourth proportional to 9,423.60, 14,124.60 and 3,874.20 is: 5,806.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,423.60 : 14,124.60 = 3,874.20 : x
  2. Step 2: Convert to fraction form
    9,423.60/14,124.60 = 3,874.20/x
  3. Step 3: Cross multiply
    9,423.60x = 14,124.60 × 3,874.20
  4. Step 4: Simplify right side
    9,423.60x = 54,721,525.32
  5. Step 5: Solve for x
    x = 54,721,525.32/9,423.60
  6. Step 6: Final answer
    x = 5,806.86

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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.