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Finding the Fourth Proportional to 9,707.91, 14,557.17 and 3,467.79

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Solution

The fourth proportional to 9,707.91, 14,557.17 and 3,467.79 is: 5,200.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,707.91 : 14,557.17 = 3,467.79 : x
  2. Step 2: Convert to fraction form
    9,707.91/14,557.17 = 3,467.79/x
  3. Step 3: Cross multiply
    9,707.91x = 14,557.17 × 3,467.79
  4. Step 4: Simplify right side
    9,707.91x = 50,481,208.55
  5. Step 5: Solve for x
    x = 50,481,208.55/9,707.91
  6. Step 6: Final answer
    x = 5,200.01

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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.