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Finding the Fourth Proportional to 6,678.09, 9,217.68 and 4,411.09

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Solution

The fourth proportional to 6,678.09, 9,217.68 and 4,411.09 is: 6,088.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,678.09 : 9,217.68 = 4,411.09 : x
  2. Step 2: Convert to fraction form
    6,678.09/9,217.68 = 4,411.09/x
  3. Step 3: Cross multiply
    6,678.09x = 9,217.68 × 4,411.09
  4. Step 4: Simplify right side
    6,678.09x = 40,660,016.07
  5. Step 5: Solve for x
    x = 40,660,016.07/6,678.09
  6. Step 6: Final answer
    x = 6,088.57

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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.