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Finding the Fourth Proportional to 9,997.69, 14,980.12 and 3,420.29

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Solution

The fourth proportional to 9,997.69, 14,980.12 and 3,420.29 is: 5,124.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,997.69 : 14,980.12 = 3,420.29 : x
  2. Step 2: Convert to fraction form
    9,997.69/14,980.12 = 3,420.29/x
  3. Step 3: Cross multiply
    9,997.69x = 14,980.12 × 3,420.29
  4. Step 4: Simplify right side
    9,997.69x = 51,236,271.18
  5. Step 5: Solve for x
    x = 51,236,271.18/9,997.69
  6. Step 6: Final answer
    x = 5,124.81

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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.