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Finding the Fourth Proportional to 6,846.40, 9,446.56 and 4,013.20

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Solution

The fourth proportional to 6,846.40, 9,446.56 and 4,013.20 is: 5,537.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,846.40 : 9,446.56 = 4,013.20 : x
  2. Step 2: Convert to fraction form
    6,846.40/9,446.56 = 4,013.20/x
  3. Step 3: Cross multiply
    6,846.40x = 9,446.56 × 4,013.20
  4. Step 4: Simplify right side
    6,846.40x = 37,910,934.59
  5. Step 5: Solve for x
    x = 37,910,934.59/6,846.40
  6. Step 6: Final answer
    x = 5,537.35

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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.