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Finding the Fourth Proportional to 9,522.41, 14,287.65 and 5,134.75

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Solution

The fourth proportional to 9,522.41, 14,287.65 and 5,134.75 is: 7,704.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,522.41 : 14,287.65 = 5,134.75 : x
  2. Step 2: Convert to fraction form
    9,522.41/14,287.65 = 5,134.75/x
  3. Step 3: Cross multiply
    9,522.41x = 14,287.65 × 5,134.75
  4. Step 4: Simplify right side
    9,522.41x = 73,363,439.40
  5. Step 5: Solve for x
    x = 73,363,439.40/9,522.41
  6. Step 6: Final answer
    x = 7,704.29

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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.