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Finding the Fourth Proportional to 9,951.78, 14,931.63 and 4,107.03

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Solution

The fourth proportional to 9,951.78, 14,931.63 and 4,107.03 is: 6,162.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,951.78 : 14,931.63 = 4,107.03 : x
  2. Step 2: Convert to fraction form
    9,951.78/14,931.63 = 4,107.03/x
  3. Step 3: Cross multiply
    9,951.78x = 14,931.63 × 4,107.03
  4. Step 4: Simplify right side
    9,951.78x = 61,324,652.36
  5. Step 5: Solve for x
    x = 61,324,652.36/9,951.78
  6. Step 6: Final answer
    x = 6,162.18

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.