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Finding the Fourth Proportional to 9,490.72, 13,097.28 and 5,512

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Solution

The fourth proportional to 9,490.72, 13,097.28 and 5,512 is: 7,606.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,490.72 : 13,097.28 = 5,512 : x
  2. Step 2: Convert to fraction form
    9,490.72/13,097.28 = 5,512/x
  3. Step 3: Cross multiply
    9,490.72x = 13,097.28 × 5,512
  4. Step 4: Simplify right side
    9,490.72x = 72,192,207.36
  5. Step 5: Solve for x
    x = 72,192,207.36/9,490.72
  6. Step 6: Final answer
    x = 7,606.61

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.