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Finding the Fourth Proportional to 10,239.98, 14,125.64 and 6,842.84

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Solution

The fourth proportional to 10,239.98, 14,125.64 and 6,842.84 is: 9,439.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,239.98 : 14,125.64 = 6,842.84 : x
  2. Step 2: Convert to fraction form
    10,239.98/14,125.64 = 6,842.84/x
  3. Step 3: Cross multiply
    10,239.98x = 14,125.64 × 6,842.84
  4. Step 4: Simplify right side
    10,239.98x = 96,659,494.42
  5. Step 5: Solve for x
    x = 96,659,494.42/10,239.98
  6. Step 6: Final answer
    x = 9,439.42

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.