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Finding the Fourth Proportional to 9,885.25, 14,827.92 and 2,959.75

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Solution

The fourth proportional to 9,885.25, 14,827.92 and 2,959.75 is: 4,439.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,885.25 : 14,827.92 = 2,959.75 : x
  2. Step 2: Convert to fraction form
    9,885.25/14,827.92 = 2,959.75/x
  3. Step 3: Cross multiply
    9,885.25x = 14,827.92 × 2,959.75
  4. Step 4: Simplify right side
    9,885.25x = 43,886,936.22
  5. Step 5: Solve for x
    x = 43,886,936.22/9,885.25
  6. Step 6: Final answer
    x = 4,439.64

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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.