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Finding the Fourth Proportional to 9,843.16, 14,752.26 and 9,739

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Solution

The fourth proportional to 9,843.16, 14,752.26 and 9,739 is: 14,596.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,843.16 : 14,752.26 = 9,739 : x
  2. Step 2: Convert to fraction form
    9,843.16/14,752.26 = 9,739/x
  3. Step 3: Cross multiply
    9,843.16x = 14,752.26 × 9,739
  4. Step 4: Simplify right side
    9,843.16x = 143,672,260.14
  5. Step 5: Solve for x
    x = 143,672,260.14/9,843.16
  6. Step 6: Final answer
    x = 14,596.15

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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.