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Finding the Fourth Proportional to 9,423.75, 13,004.79 and 5,174.13

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Solution

The fourth proportional to 9,423.75, 13,004.79 and 5,174.13 is: 7,140.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,423.75 : 13,004.79 = 5,174.13 : x
  2. Step 2: Convert to fraction form
    9,423.75/13,004.79 = 5,174.13/x
  3. Step 3: Cross multiply
    9,423.75x = 13,004.79 × 5,174.13
  4. Step 4: Simplify right side
    9,423.75x = 67,288,534.42
  5. Step 5: Solve for x
    x = 67,288,534.42/9,423.75
  6. Step 6: Final answer
    x = 7,140.31

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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.