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Finding the Fourth Proportional to 9,383.90, 14,074.13 and 3,459.50

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Solution

The fourth proportional to 9,383.90, 14,074.13 and 3,459.50 is: 5,188.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,383.90 : 14,074.13 = 3,459.50 : x
  2. Step 2: Convert to fraction form
    9,383.90/14,074.13 = 3,459.50/x
  3. Step 3: Cross multiply
    9,383.90x = 14,074.13 × 3,459.50
  4. Step 4: Simplify right side
    9,383.90x = 48,689,452.74
  5. Step 5: Solve for x
    x = 48,689,452.74/9,383.90
  6. Step 6: Final answer
    x = 5,188.62

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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.