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Finding the Fourth Proportional to 6,188.16, 9,241.32 and 5,851.20

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Solution

The fourth proportional to 6,188.16, 9,241.32 and 5,851.20 is: 8,738.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,188.16 : 9,241.32 = 5,851.20 : x
  2. Step 2: Convert to fraction form
    6,188.16/9,241.32 = 5,851.20/x
  3. Step 3: Cross multiply
    6,188.16x = 9,241.32 × 5,851.20
  4. Step 4: Simplify right side
    6,188.16x = 54,072,811.58
  5. Step 5: Solve for x
    x = 54,072,811.58/6,188.16
  6. Step 6: Final answer
    x = 8,738.11

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.