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Finding the Fourth Proportional to 9,423.64, 13,003.86 and 5,231.80

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Solution

The fourth proportional to 9,423.64, 13,003.86 and 5,231.80 is: 7,219.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,423.64 : 13,003.86 = 5,231.80 : x
  2. Step 2: Convert to fraction form
    9,423.64/13,003.86 = 5,231.80/x
  3. Step 3: Cross multiply
    9,423.64x = 13,003.86 × 5,231.80
  4. Step 4: Simplify right side
    9,423.64x = 68,033,594.75
  5. Step 5: Solve for x
    x = 68,033,594.75/9,423.64
  6. Step 6: Final answer
    x = 7,219.46

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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.