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Finding the Fourth Proportional to 9,423.72, 13,007.07 and 5,447.31

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Solution

The fourth proportional to 9,423.72, 13,007.07 and 5,447.31 is: 7,518.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,423.72 : 13,007.07 = 5,447.31 : x
  2. Step 2: Convert to fraction form
    9,423.72/13,007.07 = 5,447.31/x
  3. Step 3: Cross multiply
    9,423.72x = 13,007.07 × 5,447.31
  4. Step 4: Simplify right side
    9,423.72x = 70,853,542.48
  5. Step 5: Solve for x
    x = 70,853,542.48/9,423.72
  6. Step 6: Final answer
    x = 7,518.64

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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.