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Finding the Fourth Proportional to 9,144.72, 13,706.73 and 4,204.16

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Solution

The fourth proportional to 9,144.72, 13,706.73 and 4,204.16 is: 6,301.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,144.72 : 13,706.73 = 4,204.16 : x
  2. Step 2: Convert to fraction form
    9,144.72/13,706.73 = 4,204.16/x
  3. Step 3: Cross multiply
    9,144.72x = 13,706.73 × 4,204.16
  4. Step 4: Simplify right side
    9,144.72x = 57,625,264.98
  5. Step 5: Solve for x
    x = 57,625,264.98/9,144.72
  6. Step 6: Final answer
    x = 6,301.48

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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.