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Finding the Fourth Proportional to 9,997.67, 15,005.64 and 5,070.71

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Solution

The fourth proportional to 9,997.67, 15,005.64 and 5,070.71 is: 7,610.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,997.67 : 15,005.64 = 5,070.71 : x
  2. Step 2: Convert to fraction form
    9,997.67/15,005.64 = 5,070.71/x
  3. Step 3: Cross multiply
    9,997.67x = 15,005.64 × 5,070.71
  4. Step 4: Simplify right side
    9,997.67x = 76,089,173.78
  5. Step 5: Solve for x
    x = 76,089,173.78/9,997.67
  6. Step 6: Final answer
    x = 7,610.69

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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.