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Finding the Fourth Proportional to 9,724.67, 13,419.86 and 5,475.71

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Solution

The fourth proportional to 9,724.67, 13,419.86 and 5,475.71 is: 7,556.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,724.67 : 13,419.86 = 5,475.71 : x
  2. Step 2: Convert to fraction form
    9,724.67/13,419.86 = 5,475.71/x
  3. Step 3: Cross multiply
    9,724.67x = 13,419.86 × 5,475.71
  4. Step 4: Simplify right side
    9,724.67x = 73,483,340.54
  5. Step 5: Solve for x
    x = 73,483,340.54/9,724.67
  6. Step 6: Final answer
    x = 7,556.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.