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Finding the Fourth Proportional to 9,917.46, 14,876.10 and 3,343.08

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Solution

The fourth proportional to 9,917.46, 14,876.10 and 3,343.08 is: 5,014.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,917.46 : 14,876.10 = 3,343.08 : x
  2. Step 2: Convert to fraction form
    9,917.46/14,876.10 = 3,343.08/x
  3. Step 3: Cross multiply
    9,917.46x = 14,876.10 × 3,343.08
  4. Step 4: Simplify right side
    9,917.46x = 49,731,992.39
  5. Step 5: Solve for x
    x = 49,731,992.39/9,917.46
  6. Step 6: Final answer
    x = 5,014.59

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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.