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Finding the Fourth Proportional to 9,486.32, 14,227.65 and 2,910.74

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Solution

The fourth proportional to 9,486.32, 14,227.65 and 2,910.74 is: 4,365.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,486.32 : 14,227.65 = 2,910.74 : x
  2. Step 2: Convert to fraction form
    9,486.32/14,227.65 = 2,910.74/x
  3. Step 3: Cross multiply
    9,486.32x = 14,227.65 × 2,910.74
  4. Step 4: Simplify right side
    9,486.32x = 41,412,918.82
  5. Step 5: Solve for x
    x = 41,412,918.82/9,486.32
  6. Step 6: Final answer
    x = 4,365.54

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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.