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Finding the Fourth Proportional to 9,997.86, 14,991.76 and 3,332.00

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Solution

The fourth proportional to 9,997.86, 14,991.76 and 3,332.00 is: 4,996.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,997.86 : 14,991.76 = 3,332.00 : x
  2. Step 2: Convert to fraction form
    9,997.86/14,991.76 = 3,332.00/x
  3. Step 3: Cross multiply
    9,997.86x = 14,991.76 × 3,332.00
  4. Step 4: Simplify right side
    9,997.86x = 49,952,461.03
  5. Step 5: Solve for x
    x = 49,952,461.03/9,997.86
  6. Step 6: Final answer
    x = 4,996.32

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.