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Finding the Fourth Proportional to 7,126.74, 9,834.03 and 3,982.50

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Solution

The fourth proportional to 7,126.74, 9,834.03 and 3,982.50 is: 5,495.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,126.74 : 9,834.03 = 3,982.50 : x
  2. Step 2: Convert to fraction form
    7,126.74/9,834.03 = 3,982.50/x
  3. Step 3: Cross multiply
    7,126.74x = 9,834.03 × 3,982.50
  4. Step 4: Simplify right side
    7,126.74x = 39,164,024.48
  5. Step 5: Solve for x
    x = 39,164,024.48/7,126.74
  6. Step 6: Final answer
    x = 5,495.36

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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.