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Finding the Fourth Proportional to 9,442.52, 14,219.99 and 8,224.64

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Solution

The fourth proportional to 9,442.52, 14,219.99 and 8,224.64 is: 12,385.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,442.52 : 14,219.99 = 8,224.64 : x
  2. Step 2: Convert to fraction form
    9,442.52/14,219.99 = 8,224.64/x
  3. Step 3: Cross multiply
    9,442.52x = 14,219.99 × 8,224.64
  4. Step 4: Simplify right side
    9,442.52x = 116,954,270.50
  5. Step 5: Solve for x
    x = 116,954,270.50/9,442.52
  6. Step 6: Final answer
    x = 12,385.92

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.