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Finding the Fourth Proportional to 9,574.96, 13,213.50 and 6,219.04

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Solution

The fourth proportional to 9,574.96, 13,213.50 and 6,219.04 is: 8,582.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,574.96 : 13,213.50 = 6,219.04 : x
  2. Step 2: Convert to fraction form
    9,574.96/13,213.50 = 6,219.04/x
  3. Step 3: Cross multiply
    9,574.96x = 13,213.50 × 6,219.04
  4. Step 4: Simplify right side
    9,574.96x = 82,175,285.04
  5. Step 5: Solve for x
    x = 82,175,285.04/9,574.96
  6. Step 6: Final answer
    x = 8,582.31

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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.