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Finding the Fourth Proportional to 7,140.34, 9,853.80 and 3,996.52

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Solution

The fourth proportional to 7,140.34, 9,853.80 and 3,996.52 is: 5,515.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,140.34 : 9,853.80 = 3,996.52 : x
  2. Step 2: Convert to fraction form
    7,140.34/9,853.80 = 3,996.52/x
  3. Step 3: Cross multiply
    7,140.34x = 9,853.80 × 3,996.52
  4. Step 4: Simplify right side
    7,140.34x = 39,380,908.78
  5. Step 5: Solve for x
    x = 39,380,908.78/7,140.34
  6. Step 6: Final answer
    x = 5,515.27

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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.