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Finding the Fourth Proportional to 9,954.66, 14,930.10 and 5,027.16

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Solution

The fourth proportional to 9,954.66, 14,930.10 and 5,027.16 is: 7,539.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,954.66 : 14,930.10 = 5,027.16 : x
  2. Step 2: Convert to fraction form
    9,954.66/14,930.10 = 5,027.16/x
  3. Step 3: Cross multiply
    9,954.66x = 14,930.10 × 5,027.16
  4. Step 4: Simplify right side
    9,954.66x = 75,056,001.52
  5. Step 5: Solve for x
    x = 75,056,001.52/9,954.66
  6. Step 6: Final answer
    x = 7,539.79

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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.