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Finding the Fourth Proportional to 7,141.12, 9,854.76 and 3,954.64

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Solution

The fourth proportional to 7,141.12, 9,854.76 and 3,954.64 is: 5,457.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,141.12 : 9,854.76 = 3,954.64 : x
  2. Step 2: Convert to fraction form
    7,141.12/9,854.76 = 3,954.64/x
  3. Step 3: Cross multiply
    7,141.12x = 9,854.76 × 3,954.64
  4. Step 4: Simplify right side
    7,141.12x = 38,972,028.09
  5. Step 5: Solve for x
    x = 38,972,028.09/7,141.12
  6. Step 6: Final answer
    x = 5,457.41

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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.