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Finding the Fourth Proportional to 6,635.79, 9,946.71 and 5,072.40

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Solution

The fourth proportional to 6,635.79, 9,946.71 and 5,072.40 is: 7,603.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,635.79 : 9,946.71 = 5,072.40 : x
  2. Step 2: Convert to fraction form
    6,635.79/9,946.71 = 5,072.40/x
  3. Step 3: Cross multiply
    6,635.79x = 9,946.71 × 5,072.40
  4. Step 4: Simplify right side
    6,635.79x = 50,453,691.80
  5. Step 5: Solve for x
    x = 50,453,691.80/6,635.79
  6. Step 6: Final answer
    x = 7,603.27

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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.