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Finding the Fourth Proportional to 9,997.72, 14,987.64 and 4,150.60

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Solution

The fourth proportional to 9,997.72, 14,987.64 and 4,150.60 is: 6,222.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,997.72 : 14,987.64 = 4,150.60 : x
  2. Step 2: Convert to fraction form
    9,997.72/14,987.64 = 4,150.60/x
  3. Step 3: Cross multiply
    9,997.72x = 14,987.64 × 4,150.60
  4. Step 4: Simplify right side
    9,997.72x = 62,207,698.58
  5. Step 5: Solve for x
    x = 62,207,698.58/9,997.72
  6. Step 6: Final answer
    x = 6,222.19

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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.