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Finding the Fourth Proportional to 9,400.28, 14,083.02 and 4,714.82

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Solution

The fourth proportional to 9,400.28, 14,083.02 and 4,714.82 is: 7,063.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,400.28 : 14,083.02 = 4,714.82 : x
  2. Step 2: Convert to fraction form
    9,400.28/14,083.02 = 4,714.82/x
  3. Step 3: Cross multiply
    9,400.28x = 14,083.02 × 4,714.82
  4. Step 4: Simplify right side
    9,400.28x = 66,398,904.36
  5. Step 5: Solve for x
    x = 66,398,904.36/9,400.28
  6. Step 6: Final answer
    x = 7,063.50

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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.