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Finding the Fourth Proportional to 9,447.54, 14,151.06 and 7,684.17

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Solution

The fourth proportional to 9,447.54, 14,151.06 and 7,684.17 is: 11,509.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,447.54 : 14,151.06 = 7,684.17 : x
  2. Step 2: Convert to fraction form
    9,447.54/14,151.06 = 7,684.17/x
  3. Step 3: Cross multiply
    9,447.54x = 14,151.06 × 7,684.17
  4. Step 4: Simplify right side
    9,447.54x = 108,739,150.72
  5. Step 5: Solve for x
    x = 108,739,150.72/9,447.54
  6. Step 6: Final answer
    x = 11,509.78

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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.