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Finding the Fourth Proportional to 6,391.66, 9,588.41 and 2,009.46

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Solution

The fourth proportional to 6,391.66, 9,588.41 and 2,009.46 is: 3,014.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,391.66 : 9,588.41 = 2,009.46 : x
  2. Step 2: Convert to fraction form
    6,391.66/9,588.41 = 2,009.46/x
  3. Step 3: Cross multiply
    6,391.66x = 9,588.41 × 2,009.46
  4. Step 4: Simplify right side
    6,391.66x = 19,267,526.36
  5. Step 5: Solve for x
    x = 19,267,526.36/6,391.66
  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.