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Finding the Fourth Proportional to 9,484.75, 14,233.47 and 3,938.10

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Solution

The fourth proportional to 9,484.75, 14,233.47 and 3,938.10 is: 5,909.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,484.75 : 14,233.47 = 3,938.10 : x
  2. Step 2: Convert to fraction form
    9,484.75/14,233.47 = 3,938.10/x
  3. Step 3: Cross multiply
    9,484.75x = 14,233.47 × 3,938.10
  4. Step 4: Simplify right side
    9,484.75x = 56,052,760.06
  5. Step 5: Solve for x
    x = 56,052,760.06/9,484.75
  6. Step 6: Final answer
    x = 5,909.78

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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.