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Finding the Fourth Proportional to 9,371.40, 14,061.68 and 5,214.48

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Solution

The fourth proportional to 9,371.40, 14,061.68 and 5,214.48 is: 7,824.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,371.40 : 14,061.68 = 5,214.48 : x
  2. Step 2: Convert to fraction form
    9,371.40/14,061.68 = 5,214.48/x
  3. Step 3: Cross multiply
    9,371.40x = 14,061.68 × 5,214.48
  4. Step 4: Simplify right side
    9,371.40x = 73,324,349.13
  5. Step 5: Solve for x
    x = 73,324,349.13/9,371.40
  6. Step 6: Final answer
    x = 7,824.27

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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.