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Finding the Fourth Proportional to 9,980.30, 14,971.82 and 3,404.72

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Solution

The fourth proportional to 9,980.30, 14,971.82 and 3,404.72 is: 5,107.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,980.30 : 14,971.82 = 3,404.72 : x
  2. Step 2: Convert to fraction form
    9,980.30/14,971.82 = 3,404.72/x
  3. Step 3: Cross multiply
    9,980.30x = 14,971.82 × 3,404.72
  4. Step 4: Simplify right side
    9,980.30x = 50,974,819.25
  5. Step 5: Solve for x
    x = 50,974,819.25/9,980.30
  6. Step 6: Final answer
    x = 5,107.54

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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.