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Finding the Fourth Proportional to 9,997.32, 14,993.52 and 4,148.32

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Solution

The fourth proportional to 9,997.32, 14,993.52 and 4,148.32 is: 6,221.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,997.32 : 14,993.52 = 4,148.32 : x
  2. Step 2: Convert to fraction form
    9,997.32/14,993.52 = 4,148.32/x
  3. Step 3: Cross multiply
    9,997.32x = 14,993.52 × 4,148.32
  4. Step 4: Simplify right side
    9,997.32x = 62,197,918.89
  5. Step 5: Solve for x
    x = 62,197,918.89/9,997.32
  6. Step 6: Final answer
    x = 6,221.46

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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.