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Finding the Fourth Proportional to 9,649.98, 13,316.31 and 5,400.86

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Solution

The fourth proportional to 9,649.98, 13,316.31 and 5,400.86 is: 7,452.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,649.98 : 13,316.31 = 5,400.86 : x
  2. Step 2: Convert to fraction form
    9,649.98/13,316.31 = 5,400.86/x
  3. Step 3: Cross multiply
    9,649.98x = 13,316.31 × 5,400.86
  4. Step 4: Simplify right side
    9,649.98x = 71,919,459.45
  5. Step 5: Solve for x
    x = 71,919,459.45/9,649.98
  6. Step 6: Final answer
    x = 7,452.81

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.