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Finding the Fourth Proportional to 9,348.75, 14,023.94 and 2,423.25

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Solution

The fourth proportional to 9,348.75, 14,023.94 and 2,423.25 is: 3,635.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,348.75 : 14,023.94 = 2,423.25 : x
  2. Step 2: Convert to fraction form
    9,348.75/14,023.94 = 2,423.25/x
  3. Step 3: Cross multiply
    9,348.75x = 14,023.94 × 2,423.25
  4. Step 4: Simplify right side
    9,348.75x = 33,983,500.49
  5. Step 5: Solve for x
    x = 33,983,500.49/9,348.75
  6. Step 6: Final answer
    x = 3,635.08

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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.