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Finding the Fourth Proportional to 9,423.90, 13,004.47 and 5,231.88

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Solution

The fourth proportional to 9,423.90, 13,004.47 and 5,231.88 is: 7,219.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,423.90 : 13,004.47 = 5,231.88 : x
  2. Step 2: Convert to fraction form
    9,423.90/13,004.47 = 5,231.88/x
  3. Step 3: Cross multiply
    9,423.90x = 13,004.47 × 5,231.88
  4. Step 4: Simplify right side
    9,423.90x = 68,037,826.50
  5. Step 5: Solve for x
    x = 68,037,826.50/9,423.90
  6. Step 6: Final answer
    x = 7,219.71

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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.