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Finding the Fourth Proportional to 9,579.47, 13,211.16 and 6,219.08

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Solution

The fourth proportional to 9,579.47, 13,211.16 and 6,219.08 is: 8,576.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,579.47 : 13,211.16 = 6,219.08 : x
  2. Step 2: Convert to fraction form
    9,579.47/13,211.16 = 6,219.08/x
  3. Step 3: Cross multiply
    9,579.47x = 13,211.16 × 6,219.08
  4. Step 4: Simplify right side
    9,579.47x = 82,161,293.96
  5. Step 5: Solve for x
    x = 82,161,293.96/9,579.47
  6. Step 6: Final answer
    x = 8,576.81

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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.