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Finding the Fourth Proportional to 9,617.80, 14,418.60 and 5,000.80

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Solution

The fourth proportional to 9,617.80, 14,418.60 and 5,000.80 is: 7,496.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,617.80 : 14,418.60 = 5,000.80 : x
  2. Step 2: Convert to fraction form
    9,617.80/14,418.60 = 5,000.80/x
  3. Step 3: Cross multiply
    9,617.80x = 14,418.60 × 5,000.80
  4. Step 4: Simplify right side
    9,617.80x = 72,104,534.88
  5. Step 5: Solve for x
    x = 72,104,534.88/9,617.80
  6. Step 6: Final answer
    x = 7,496.99

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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.