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Finding the Fourth Proportional to 9,951.84, 14,930.88 and 4,111.20

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Solution

The fourth proportional to 9,951.84, 14,930.88 and 4,111.20 is: 6,168.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,951.84 : 14,930.88 = 4,111.20 : x
  2. Step 2: Convert to fraction form
    9,951.84/14,930.88 = 4,111.20/x
  3. Step 3: Cross multiply
    9,951.84x = 14,930.88 × 4,111.20
  4. Step 4: Simplify right side
    9,951.84x = 61,383,833.86
  5. Step 5: Solve for x
    x = 61,383,833.86/9,951.84
  6. Step 6: Final answer
    x = 6,168.09

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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.