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Finding the Fourth Proportional to 6,412.49, 8,851.59 and 3,762.12

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Solution

The fourth proportional to 6,412.49, 8,851.59 and 3,762.12 is: 5,193.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,412.49 : 8,851.59 = 3,762.12 : x
  2. Step 2: Convert to fraction form
    6,412.49/8,851.59 = 3,762.12/x
  3. Step 3: Cross multiply
    6,412.49x = 8,851.59 × 3,762.12
  4. Step 4: Simplify right side
    6,412.49x = 33,300,724.96
  5. Step 5: Solve for x
    x = 33,300,724.96/6,412.49
  6. Step 6: Final answer
    x = 5,193.11

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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.