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Finding the Fourth Proportional to 9,423.64, 13,005.20 and 5,231.88

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Solution

The fourth proportional to 9,423.64, 13,005.20 and 5,231.88 is: 7,220.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,423.64 : 13,005.20 = 5,231.88 : x
  2. Step 2: Convert to fraction form
    9,423.64/13,005.20 = 5,231.88/x
  3. Step 3: Cross multiply
    9,423.64x = 13,005.20 × 5,231.88
  4. Step 4: Simplify right side
    9,423.64x = 68,041,645.78
  5. Step 5: Solve for x
    x = 68,041,645.78/9,423.64
  6. Step 6: Final answer
    x = 7,220.31

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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.