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Finding the Fourth Proportional to 6,114.22, 8,441.62 and 3,848.85

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Solution

The fourth proportional to 6,114.22, 8,441.62 and 3,848.85 is: 5,313.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,114.22 : 8,441.62 = 3,848.85 : x
  2. Step 2: Convert to fraction form
    6,114.22/8,441.62 = 3,848.85/x
  3. Step 3: Cross multiply
    6,114.22x = 8,441.62 × 3,848.85
  4. Step 4: Simplify right side
    6,114.22x = 32,490,519.51
  5. Step 5: Solve for x
    x = 32,490,519.51/6,114.22
  6. Step 6: Final answer
    x = 5,313.93

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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.