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Finding the Fourth Proportional to 9,574.07, 13,203 and 6,217.83

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Solution

The fourth proportional to 9,574.07, 13,203 and 6,217.83 is: 8,574.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,574.07 : 13,203 = 6,217.83 : x
  2. Step 2: Convert to fraction form
    9,574.07/13,203 = 6,217.83/x
  3. Step 3: Cross multiply
    9,574.07x = 13,203 × 6,217.83
  4. Step 4: Simplify right side
    9,574.07x = 82,094,009.49
  5. Step 5: Solve for x
    x = 82,094,009.49/9,574.07
  6. Step 6: Final answer
    x = 8,574.62

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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.