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Finding the Fourth Proportional to 10,192.86, 14,053.01 and 6,601.46

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Solution

The fourth proportional to 10,192.86, 14,053.01 and 6,601.46 is: 9,101.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,192.86 : 14,053.01 = 6,601.46 : x
  2. Step 2: Convert to fraction form
    10,192.86/14,053.01 = 6,601.46/x
  3. Step 3: Cross multiply
    10,192.86x = 14,053.01 × 6,601.46
  4. Step 4: Simplify right side
    10,192.86x = 92,770,280.12
  5. Step 5: Solve for x
    x = 92,770,280.12/10,192.86
  6. Step 6: Final answer
    x = 9,101.50

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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.