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Finding the Fourth Proportional to 9,492.69, 14,239.03 and 2,567.19

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Solution

The fourth proportional to 9,492.69, 14,239.03 and 2,567.19 is: 3,850.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,492.69 : 14,239.03 = 2,567.19 : x
  2. Step 2: Convert to fraction form
    9,492.69/14,239.03 = 2,567.19/x
  3. Step 3: Cross multiply
    9,492.69x = 14,239.03 × 2,567.19
  4. Step 4: Simplify right side
    9,492.69x = 36,554,295.43
  5. Step 5: Solve for x
    x = 36,554,295.43/9,492.69
  6. Step 6: Final answer
    x = 3,850.78

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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.