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Finding the Fourth Proportional to 9,425.53, 14,138.02 and 3,877.30

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Solution

The fourth proportional to 9,425.53, 14,138.02 and 3,877.30 is: 5,815.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,425.53 : 14,138.02 = 3,877.30 : x
  2. Step 2: Convert to fraction form
    9,425.53/14,138.02 = 3,877.30/x
  3. Step 3: Cross multiply
    9,425.53x = 14,138.02 × 3,877.30
  4. Step 4: Simplify right side
    9,425.53x = 54,817,344.95
  5. Step 5: Solve for x
    x = 54,817,344.95/9,425.53
  6. Step 6: Final answer
    x = 5,815.84

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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.