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Finding the Fourth Proportional to 6,671.81, 9,988.27 and 6,419.09

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Solution

The fourth proportional to 6,671.81, 9,988.27 and 6,419.09 is: 9,609.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,671.81 : 9,988.27 = 6,419.09 : x
  2. Step 2: Convert to fraction form
    6,671.81/9,988.27 = 6,419.09/x
  3. Step 3: Cross multiply
    6,671.81x = 9,988.27 × 6,419.09
  4. Step 4: Simplify right side
    6,671.81x = 64,115,604.07
  5. Step 5: Solve for x
    x = 64,115,604.07/6,671.81
  6. Step 6: Final answer
    x = 9,609.93

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.