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Finding the Fourth Proportional to 9,843.36, 14,655.24 and 9,705.48

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Solution

The fourth proportional to 9,843.36, 14,655.24 and 9,705.48 is: 14,449.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,843.36 : 14,655.24 = 9,705.48 : x
  2. Step 2: Convert to fraction form
    9,843.36/14,655.24 = 9,705.48/x
  3. Step 3: Cross multiply
    9,843.36x = 14,655.24 × 9,705.48
  4. Step 4: Simplify right side
    9,843.36x = 142,236,138.72
  5. Step 5: Solve for x
    x = 142,236,138.72/9,843.36
  6. Step 6: Final answer
    x = 14,449.96

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.