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Finding the Fourth Proportional to 10,396.36, 14,337.06 and 6,805.96

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Solution

The fourth proportional to 10,396.36, 14,337.06 and 6,805.96 is: 9,385.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,396.36 : 14,337.06 = 6,805.96 : x
  2. Step 2: Convert to fraction form
    10,396.36/14,337.06 = 6,805.96/x
  3. Step 3: Cross multiply
    10,396.36x = 14,337.06 × 6,805.96
  4. Step 4: Simplify right side
    10,396.36x = 97,577,456.88
  5. Step 5: Solve for x
    x = 97,577,456.88/10,396.36
  6. Step 6: Final answer
    x = 9,385.73

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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.