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Finding the Fourth Proportional to 9,987.44, 13,784.46 and 6,009.08

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Solution

The fourth proportional to 9,987.44, 13,784.46 and 6,009.08 is: 8,293.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,987.44 : 13,784.46 = 6,009.08 : x
  2. Step 2: Convert to fraction form
    9,987.44/13,784.46 = 6,009.08/x
  3. Step 3: Cross multiply
    9,987.44x = 13,784.46 × 6,009.08
  4. Step 4: Simplify right side
    9,987.44x = 82,831,922.90
  5. Step 5: Solve for x
    x = 82,831,922.90/9,987.44
  6. Step 6: Final answer
    x = 8,293.61

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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.