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Finding the Fourth Proportional to 9,885.28, 14,833.74 and 3,649.68

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Solution

The fourth proportional to 9,885.28, 14,833.74 and 3,649.68 is: 5,476.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,885.28 : 14,833.74 = 3,649.68 : x
  2. Step 2: Convert to fraction form
    9,885.28/14,833.74 = 3,649.68/x
  3. Step 3: Cross multiply
    9,885.28x = 14,833.74 × 3,649.68
  4. Step 4: Simplify right side
    9,885.28x = 54,138,404.20
  5. Step 5: Solve for x
    x = 54,138,404.20/9,885.28
  6. Step 6: Final answer
    x = 5,476.67

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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.