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Finding the Fourth Proportional to 9,923.64, 14,844.42 and 8,148.66

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Solution

The fourth proportional to 9,923.64, 14,844.42 and 8,148.66 is: 12,189.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,923.64 : 14,844.42 = 8,148.66 : x
  2. Step 2: Convert to fraction form
    9,923.64/14,844.42 = 8,148.66/x
  3. Step 3: Cross multiply
    9,923.64x = 14,844.42 × 8,148.66
  4. Step 4: Simplify right side
    9,923.64x = 120,962,131.48
  5. Step 5: Solve for x
    x = 120,962,131.48/9,923.64
  6. Step 6: Final answer
    x = 12,189.29

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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.