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Finding the Fourth Proportional to 9,716.40, 14,578.20 and 3,877.20

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Solution

The fourth proportional to 9,716.40, 14,578.20 and 3,877.20 is: 5,817.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,716.40 : 14,578.20 = 3,877.20 : x
  2. Step 2: Convert to fraction form
    9,716.40/14,578.20 = 3,877.20/x
  3. Step 3: Cross multiply
    9,716.40x = 14,578.20 × 3,877.20
  4. Step 4: Simplify right side
    9,716.40x = 56,522,597.04
  5. Step 5: Solve for x
    x = 56,522,597.04/9,716.40
  6. Step 6: Final answer
    x = 5,817.24

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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.