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Finding the Fourth Proportional to 6,646.05, 9,969.14 and 2,846.18

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Solution

The fourth proportional to 6,646.05, 9,969.14 and 2,846.18 is: 4,269.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,646.05 : 9,969.14 = 2,846.18 : x
  2. Step 2: Convert to fraction form
    6,646.05/9,969.14 = 2,846.18/x
  3. Step 3: Cross multiply
    6,646.05x = 9,969.14 × 2,846.18
  4. Step 4: Simplify right side
    6,646.05x = 28,373,902.81
  5. Step 5: Solve for x
    x = 28,373,902.81/6,646.05
  6. Step 6: Final answer
    x = 4,269.29

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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.