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Finding the Fourth Proportional to 9,484.81, 14,227.16 and 2,910.80

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Solution

The fourth proportional to 9,484.81, 14,227.16 and 2,910.80 is: 4,366.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,484.81 : 14,227.16 = 2,910.80 : x
  2. Step 2: Convert to fraction form
    9,484.81/14,227.16 = 2,910.80/x
  3. Step 3: Cross multiply
    9,484.81x = 14,227.16 × 2,910.80
  4. Step 4: Simplify right side
    9,484.81x = 41,412,438.34
  5. Step 5: Solve for x
    x = 41,412,438.34/9,484.81
  6. Step 6: Final answer
    x = 4,366.19

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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.