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Finding the Fourth Proportional to 9,579.82, 13,222.83 and 5,804.14

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Solution

The fourth proportional to 9,579.82, 13,222.83 and 5,804.14 is: 8,011.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,579.82 : 13,222.83 = 5,804.14 : x
  2. Step 2: Convert to fraction form
    9,579.82/13,222.83 = 5,804.14/x
  3. Step 3: Cross multiply
    9,579.82x = 13,222.83 × 5,804.14
  4. Step 4: Simplify right side
    9,579.82x = 76,747,156.52
  5. Step 5: Solve for x
    x = 76,747,156.52/9,579.82
  6. Step 6: Final answer
    x = 8,011.34

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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.