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Finding the Fourth Proportional to 9,381.40, 14,063.10 and 5,428.60

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Solution

The fourth proportional to 9,381.40, 14,063.10 and 5,428.60 is: 8,137.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,381.40 : 14,063.10 = 5,428.60 : x
  2. Step 2: Convert to fraction form
    9,381.40/14,063.10 = 5,428.60/x
  3. Step 3: Cross multiply
    9,381.40x = 14,063.10 × 5,428.60
  4. Step 4: Simplify right side
    9,381.40x = 76,342,944.66
  5. Step 5: Solve for x
    x = 76,342,944.66/9,381.40
  6. Step 6: Final answer
    x = 8,137.69

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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.