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Finding the Fourth Proportional to 9,893.32, 13,655.82 and 5,704.36

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Solution

The fourth proportional to 9,893.32, 13,655.82 and 5,704.36 is: 7,873.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,893.32 : 13,655.82 = 5,704.36 : x
  2. Step 2: Convert to fraction form
    9,893.32/13,655.82 = 5,704.36/x
  3. Step 3: Cross multiply
    9,893.32x = 13,655.82 × 5,704.36
  4. Step 4: Simplify right side
    9,893.32x = 77,897,713.38
  5. Step 5: Solve for x
    x = 77,897,713.38/9,893.32
  6. Step 6: Final answer
    x = 7,873.77

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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.