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Finding the Fourth Proportional to 6,101.21, 9,140.87 and 5,773.16

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Solution

The fourth proportional to 6,101.21, 9,140.87 and 5,773.16 is: 8,649.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,101.21 : 9,140.87 = 5,773.16 : x
  2. Step 2: Convert to fraction form
    6,101.21/9,140.87 = 5,773.16/x
  3. Step 3: Cross multiply
    6,101.21x = 9,140.87 × 5,773.16
  4. Step 4: Simplify right side
    6,101.21x = 52,771,742.33
  5. Step 5: Solve for x
    x = 52,771,742.33/6,101.21
  6. Step 6: Final answer
    x = 8,649.39

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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.