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Finding the Fourth Proportional to 9,470.72, 14,204.97 and 2,896.97

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Solution

The fourth proportional to 9,470.72, 14,204.97 and 2,896.97 is: 4,345.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,470.72 : 14,204.97 = 2,896.97 : x
  2. Step 2: Convert to fraction form
    9,470.72/14,204.97 = 2,896.97/x
  3. Step 3: Cross multiply
    9,470.72x = 14,204.97 × 2,896.97
  4. Step 4: Simplify right side
    9,470.72x = 41,151,300.92
  5. Step 5: Solve for x
    x = 41,151,300.92/9,470.72
  6. Step 6: Final answer
    x = 4,345.11

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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.