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Finding the Fourth Proportional to 6,392.35, 9,588.25 and 2,009.71

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Solution

The fourth proportional to 6,392.35, 9,588.25 and 2,009.71 is: 3,014.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,392.35 : 9,588.25 = 2,009.71 : x
  2. Step 2: Convert to fraction form
    6,392.35/9,588.25 = 2,009.71/x
  3. Step 3: Cross multiply
    6,392.35x = 9,588.25 × 2,009.71
  4. Step 4: Simplify right side
    6,392.35x = 19,269,601.91
  5. Step 5: Solve for x
    x = 19,269,601.91/6,392.35
  6. Step 6: Final answer
    x = 3,014.48

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.