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Finding the Fourth Proportional to 9,422.64, 12,997.80 and 6,402.96

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Solution

The fourth proportional to 9,422.64, 12,997.80 and 6,402.96 is: 8,832.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,422.64 : 12,997.80 = 6,402.96 : x
  2. Step 2: Convert to fraction form
    9,422.64/12,997.80 = 6,402.96/x
  3. Step 3: Cross multiply
    9,422.64x = 12,997.80 × 6,402.96
  4. Step 4: Simplify right side
    9,422.64x = 83,224,393.49
  5. Step 5: Solve for x
    x = 83,224,393.49/9,422.64
  6. Step 6: Final answer
    x = 8,832.39

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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.