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Finding the Fourth Proportional to 9,486.84, 14,225.52 and 2,911.44

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Solution

The fourth proportional to 9,486.84, 14,225.52 and 2,911.44 is: 4,365.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,486.84 : 14,225.52 = 2,911.44 : x
  2. Step 2: Convert to fraction form
    9,486.84/14,225.52 = 2,911.44/x
  3. Step 3: Cross multiply
    9,486.84x = 14,225.52 × 2,911.44
  4. Step 4: Simplify right side
    9,486.84x = 41,416,747.95
  5. Step 5: Solve for x
    x = 41,416,747.95/9,486.84
  6. Step 6: Final answer
    x = 4,365.71

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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.