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Finding the Fourth Proportional to 9,572.20, 13,206.78 and 5,796.76

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Solution

The fourth proportional to 9,572.20, 13,206.78 and 5,796.76 is: 7,997.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,572.20 : 13,206.78 = 5,796.76 : x
  2. Step 2: Convert to fraction form
    9,572.20/13,206.78 = 5,796.76/x
  3. Step 3: Cross multiply
    9,572.20x = 13,206.78 × 5,796.76
  4. Step 4: Simplify right side
    9,572.20x = 76,556,534.03
  5. Step 5: Solve for x
    x = 76,556,534.03/9,572.20
  6. Step 6: Final answer
    x = 7,997.80

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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.