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Finding the Fourth Proportional to 10,849.44, 16,295.02 and 9,627.46

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Solution

The fourth proportional to 10,849.44, 16,295.02 and 9,627.46 is: 14,459.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,849.44 : 16,295.02 = 9,627.46 : x
  2. Step 2: Convert to fraction form
    10,849.44/16,295.02 = 9,627.46/x
  3. Step 3: Cross multiply
    10,849.44x = 16,295.02 × 9,627.46
  4. Step 4: Simplify right side
    10,849.44x = 156,879,642.60
  5. Step 5: Solve for x
    x = 156,879,642.60/10,849.44
  6. Step 6: Final answer
    x = 14,459.69

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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.