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Finding the Fourth Proportional to 9,572.24, 13,209.87 and 5,323.65

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Solution

The fourth proportional to 9,572.24, 13,209.87 and 5,323.65 is: 7,346.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,572.24 : 13,209.87 = 5,323.65 : x
  2. Step 2: Convert to fraction form
    9,572.24/13,209.87 = 5,323.65/x
  3. Step 3: Cross multiply
    9,572.24x = 13,209.87 × 5,323.65
  4. Step 4: Simplify right side
    9,572.24x = 70,324,724.43
  5. Step 5: Solve for x
    x = 70,324,724.43/9,572.24
  6. Step 6: Final answer
    x = 7,346.74

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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.