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Finding the Fourth Proportional to 9,989.48, 14,986.14 and 3,833

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Solution

The fourth proportional to 9,989.48, 14,986.14 and 3,833 is: 5,750.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,989.48 : 14,986.14 = 3,833 : x
  2. Step 2: Convert to fraction form
    9,989.48/14,986.14 = 3,833/x
  3. Step 3: Cross multiply
    9,989.48x = 14,986.14 × 3,833
  4. Step 4: Simplify right side
    9,989.48x = 57,441,874.62
  5. Step 5: Solve for x
    x = 57,441,874.62/9,989.48
  6. Step 6: Final answer
    x = 5,750.24

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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.