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Finding the Fourth Proportional to 9,266.64, 12,781.32 and 5,905.98

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Solution

The fourth proportional to 9,266.64, 12,781.32 and 5,905.98 is: 8,146.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,266.64 : 12,781.32 = 5,905.98 : x
  2. Step 2: Convert to fraction form
    9,266.64/12,781.32 = 5,905.98/x
  3. Step 3: Cross multiply
    9,266.64x = 12,781.32 × 5,905.98
  4. Step 4: Simplify right side
    9,266.64x = 75,486,220.29
  5. Step 5: Solve for x
    x = 75,486,220.29/9,266.64
  6. Step 6: Final answer
    x = 8,146.02

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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.