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Finding the Fourth Proportional to 9,659.98, 14,491.19 and 3,418.53

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Solution

The fourth proportional to 9,659.98, 14,491.19 and 3,418.53 is: 5,128.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,659.98 : 14,491.19 = 3,418.53 : x
  2. Step 2: Convert to fraction form
    9,659.98/14,491.19 = 3,418.53/x
  3. Step 3: Cross multiply
    9,659.98x = 14,491.19 × 3,418.53
  4. Step 4: Simplify right side
    9,659.98x = 49,538,567.75
  5. Step 5: Solve for x
    x = 49,538,567.75/9,659.98
  6. Step 6: Final answer
    x = 5,128.23

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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.