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Finding the Fourth Proportional to 9,499.62, 14,247.77 and 2,572.50

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Solution

The fourth proportional to 9,499.62, 14,247.77 and 2,572.50 is: 3,858.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,499.62 : 14,247.77 = 2,572.50 : x
  2. Step 2: Convert to fraction form
    9,499.62/14,247.77 = 2,572.50/x
  3. Step 3: Cross multiply
    9,499.62x = 14,247.77 × 2,572.50
  4. Step 4: Simplify right side
    9,499.62x = 36,652,375.46
  5. Step 5: Solve for x
    x = 36,652,375.46/9,499.62
  6. Step 6: Final answer
    x = 3,858.30

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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.