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Finding the Fourth Proportional to 9,602.22, 14,397.84 and 3,755.64

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Solution

The fourth proportional to 9,602.22, 14,397.84 and 3,755.64 is: 5,631.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,602.22 : 14,397.84 = 3,755.64 : x
  2. Step 2: Convert to fraction form
    9,602.22/14,397.84 = 3,755.64/x
  3. Step 3: Cross multiply
    9,602.22x = 14,397.84 × 3,755.64
  4. Step 4: Simplify right side
    9,602.22x = 54,073,103.82
  5. Step 5: Solve for x
    x = 54,073,103.82/9,602.22
  6. Step 6: Final answer
    x = 5,631.31

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.