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Finding the Fourth Proportional to 10,342.70, 14,270.43 and 6,992.30

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Solution

The fourth proportional to 10,342.70, 14,270.43 and 6,992.30 is: 9,647.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,342.70 : 14,270.43 = 6,992.30 : x
  2. Step 2: Convert to fraction form
    10,342.70/14,270.43 = 6,992.30/x
  3. Step 3: Cross multiply
    10,342.70x = 14,270.43 × 6,992.30
  4. Step 4: Simplify right side
    10,342.70x = 99,783,127.69
  5. Step 5: Solve for x
    x = 99,783,127.69/10,342.70
  6. Step 6: Final answer
    x = 9,647.69

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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.