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Finding the Fourth Proportional to 9,142.72, 12,616.70 and 5,416.72

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Solution

The fourth proportional to 9,142.72, 12,616.70 and 5,416.72 is: 7,474.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,142.72 : 12,616.70 = 5,416.72 : x
  2. Step 2: Convert to fraction form
    9,142.72/12,616.70 = 5,416.72/x
  3. Step 3: Cross multiply
    9,142.72x = 12,616.70 × 5,416.72
  4. Step 4: Simplify right side
    9,142.72x = 68,341,131.22
  5. Step 5: Solve for x
    x = 68,341,131.22/9,142.72
  6. Step 6: Final answer
    x = 7,474.92

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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.