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Finding the Fourth Proportional to 9,144.90, 13,706.42 and 4,209.57

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Solution

The fourth proportional to 9,144.90, 13,706.42 and 4,209.57 is: 6,309.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,144.90 : 13,706.42 = 4,209.57 : x
  2. Step 2: Convert to fraction form
    9,144.90/13,706.42 = 4,209.57/x
  3. Step 3: Cross multiply
    9,144.90x = 13,706.42 × 4,209.57
  4. Step 4: Simplify right side
    9,144.90x = 57,698,113.39
  5. Step 5: Solve for x
    x = 57,698,113.39/9,144.90
  6. Step 6: Final answer
    x = 6,309.32

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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.