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Finding the Fourth Proportional to 9,767.40, 14,612.70 and 8,845.80

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Solution

The fourth proportional to 9,767.40, 14,612.70 and 8,845.80 is: 13,233.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,767.40 : 14,612.70 = 8,845.80 : x
  2. Step 2: Convert to fraction form
    9,767.40/14,612.70 = 8,845.80/x
  3. Step 3: Cross multiply
    9,767.40x = 14,612.70 × 8,845.80
  4. Step 4: Simplify right side
    9,767.40x = 129,261,021.66
  5. Step 5: Solve for x
    x = 129,261,021.66/9,767.40
  6. Step 6: Final answer
    x = 13,233.92

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