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Finding the Fourth Proportional to 7,140.40, 9,854.04 and 3,996.56

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Solution

The fourth proportional to 7,140.40, 9,854.04 and 3,996.56 is: 5,515.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,140.40 : 9,854.04 = 3,996.56 : x
  2. Step 2: Convert to fraction form
    7,140.40/9,854.04 = 3,996.56/x
  3. Step 3: Cross multiply
    7,140.40x = 9,854.04 × 3,996.56
  4. Step 4: Simplify right side
    7,140.40x = 39,382,262.10
  5. Step 5: Solve for x
    x = 39,382,262.10/7,140.40
  6. Step 6: Final answer
    x = 5,515.41

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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.