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Finding the Fourth Proportional to 9,997.20, 14,991.48 and 7,690.32

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Solution

The fourth proportional to 9,997.20, 14,991.48 and 7,690.32 is: 11,532.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,997.20 : 14,991.48 = 7,690.32 : x
  2. Step 2: Convert to fraction form
    9,997.20/14,991.48 = 7,690.32/x
  3. Step 3: Cross multiply
    9,997.20x = 14,991.48 × 7,690.32
  4. Step 4: Simplify right side
    9,997.20x = 115,289,278.47
  5. Step 5: Solve for x
    x = 115,289,278.47/9,997.20
  6. Step 6: Final answer
    x = 11,532.16

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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.