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Finding the Fourth Proportional to 9,668.88, 14,459.04 and 7,205.44

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Solution

The fourth proportional to 9,668.88, 14,459.04 and 7,205.44 is: 10,775.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,668.88 : 14,459.04 = 7,205.44 : x
  2. Step 2: Convert to fraction form
    9,668.88/14,459.04 = 7,205.44/x
  3. Step 3: Cross multiply
    9,668.88x = 14,459.04 × 7,205.44
  4. Step 4: Simplify right side
    9,668.88x = 104,183,745.18
  5. Step 5: Solve for x
    x = 104,183,745.18/9,668.88
  6. Step 6: Final answer
    x = 10,775.16

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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.