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Finding the Fourth Proportional to 9,572.16, 14,353.92 and 3,724.32

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Solution

The fourth proportional to 9,572.16, 14,353.92 and 3,724.32 is: 5,584.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,572.16 : 14,353.92 = 3,724.32 : x
  2. Step 2: Convert to fraction form
    9,572.16/14,353.92 = 3,724.32/x
  3. Step 3: Cross multiply
    9,572.16x = 14,353.92 × 3,724.32
  4. Step 4: Simplify right side
    9,572.16x = 53,458,591.33
  5. Step 5: Solve for x
    x = 53,458,591.33/9,572.16
  6. Step 6: Final answer
    x = 5,584.80

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.