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Finding the Fourth Proportional to 6,678.12, 9,212.44 and 6,203.20

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Solution

The fourth proportional to 6,678.12, 9,212.44 and 6,203.20 is: 8,557.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,678.12 : 9,212.44 = 6,203.20 : x
  2. Step 2: Convert to fraction form
    6,678.12/9,212.44 = 6,203.20/x
  3. Step 3: Cross multiply
    6,678.12x = 9,212.44 × 6,203.20
  4. Step 4: Simplify right side
    6,678.12x = 57,146,607.81
  5. Step 5: Solve for x
    x = 57,146,607.81/6,678.12
  6. Step 6: Final answer
    x = 8,557.29

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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.