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Finding the Fourth Proportional to 6,678.36, 9,218.28 and 4,689.40

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Solution

The fourth proportional to 6,678.36, 9,218.28 and 4,689.40 is: 6,472.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,678.36 : 9,218.28 = 4,689.40 : x
  2. Step 2: Convert to fraction form
    6,678.36/9,218.28 = 4,689.40/x
  3. Step 3: Cross multiply
    6,678.36x = 9,218.28 × 4,689.40
  4. Step 4: Simplify right side
    6,678.36x = 43,228,202.23
  5. Step 5: Solve for x
    x = 43,228,202.23/6,678.36
  6. Step 6: Final answer
    x = 6,472.88

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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.