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Finding the Fourth Proportional to 9,254.64, 12,757.80 and 6,105.36

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Solution

The fourth proportional to 9,254.64, 12,757.80 and 6,105.36 is: 8,416.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,254.64 : 12,757.80 = 6,105.36 : x
  2. Step 2: Convert to fraction form
    9,254.64/12,757.80 = 6,105.36/x
  3. Step 3: Cross multiply
    9,254.64x = 12,757.80 × 6,105.36
  4. Step 4: Simplify right side
    9,254.64x = 77,890,961.81
  5. Step 5: Solve for x
    x = 77,890,961.81/9,254.64
  6. Step 6: Final answer
    x = 8,416.42

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.