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Finding the Fourth Proportional to 9,572.16, 13,209.58 and 5,380.41

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Solution

The fourth proportional to 9,572.16, 13,209.58 and 5,380.41 is: 7,424.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,572.16 : 13,209.58 = 5,380.41 : x
  2. Step 2: Convert to fraction form
    9,572.16/13,209.58 = 5,380.41/x
  3. Step 3: Cross multiply
    9,572.16x = 13,209.58 × 5,380.41
  4. Step 4: Simplify right side
    9,572.16x = 71,072,942.88
  5. Step 5: Solve for x
    x = 71,072,942.88/9,572.16
  6. Step 6: Final answer
    x = 7,424.96

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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.