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Finding the Fourth Proportional to 9,142.16, 12,616.14 and 5,163.26

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Solution

The fourth proportional to 9,142.16, 12,616.14 and 5,163.26 is: 7,125.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,142.16 : 12,616.14 = 5,163.26 : x
  2. Step 2: Convert to fraction form
    9,142.16/12,616.14 = 5,163.26/x
  3. Step 3: Cross multiply
    9,142.16x = 12,616.14 × 5,163.26
  4. Step 4: Simplify right side
    9,142.16x = 65,140,411.02
  5. Step 5: Solve for x
    x = 65,140,411.02/9,142.16
  6. Step 6: Final answer
    x = 7,125.28

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.