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Finding the Fourth Proportional to 6,391.44, 9,587.56 and 2,009.06

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Solution

The fourth proportional to 6,391.44, 9,587.56 and 2,009.06 is: 3,013.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,391.44 : 9,587.56 = 2,009.06 : x
  2. Step 2: Convert to fraction form
    6,391.44/9,587.56 = 2,009.06/x
  3. Step 3: Cross multiply
    6,391.44x = 9,587.56 × 2,009.06
  4. Step 4: Simplify right side
    6,391.44x = 19,261,983.29
  5. Step 5: Solve for x
    x = 19,261,983.29/6,391.44
  6. Step 6: Final answer
    x = 3,013.72

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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.