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Finding the Fourth Proportional to 9,374.50, 14,057.88 and 3,824.08

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Solution

The fourth proportional to 9,374.50, 14,057.88 and 3,824.08 is: 5,734.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,374.50 : 14,057.88 = 3,824.08 : x
  2. Step 2: Convert to fraction form
    9,374.50/14,057.88 = 3,824.08/x
  3. Step 3: Cross multiply
    9,374.50x = 14,057.88 × 3,824.08
  4. Step 4: Simplify right side
    9,374.50x = 53,758,457.75
  5. Step 5: Solve for x
    x = 53,758,457.75/9,374.50
  6. Step 6: Final answer
    x = 5,734.54

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.