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Finding the Fourth Proportional to 7,140.61, 9,854.06 and 3,996.80

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Solution

The fourth proportional to 7,140.61, 9,854.06 and 3,996.80 is: 5,515.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,140.61 : 9,854.06 = 3,996.80 : x
  2. Step 2: Convert to fraction form
    7,140.61/9,854.06 = 3,996.80/x
  3. Step 3: Cross multiply
    7,140.61x = 9,854.06 × 3,996.80
  4. Step 4: Simplify right side
    7,140.61x = 39,384,707.01
  5. Step 5: Solve for x
    x = 39,384,707.01/7,140.61
  6. Step 6: Final answer
    x = 5,515.59

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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.