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Finding the Fourth Proportional to 9,892.32, 13,654.44 and 5,703.36

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Solution

The fourth proportional to 9,892.32, 13,654.44 and 5,703.36 is: 7,872.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,892.32 : 13,654.44 = 5,703.36 : x
  2. Step 2: Convert to fraction form
    9,892.32/13,654.44 = 5,703.36/x
  3. Step 3: Cross multiply
    9,892.32x = 13,654.44 × 5,703.36
  4. Step 4: Simplify right side
    9,892.32x = 77,876,186.92
  5. Step 5: Solve for x
    x = 77,876,186.92/9,892.32
  6. Step 6: Final answer
    x = 7,872.39

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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.