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Finding the Fourth Proportional to 9,926.39, 14,893.45 and 4,375.82

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Solution

The fourth proportional to 9,926.39, 14,893.45 and 4,375.82 is: 6,565.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,926.39 : 14,893.45 = 4,375.82 : x
  2. Step 2: Convert to fraction form
    9,926.39/14,893.45 = 4,375.82/x
  3. Step 3: Cross multiply
    9,926.39x = 14,893.45 × 4,375.82
  4. Step 4: Simplify right side
    9,926.39x = 65,171,056.38
  5. Step 5: Solve for x
    x = 65,171,056.38/9,926.39
  6. Step 6: Final answer
    x = 6,565.43

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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.