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Finding the Fourth Proportional to 7,228.97, 9,973.71 and 4,041.81

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Solution

The fourth proportional to 7,228.97, 9,973.71 and 4,041.81 is: 5,576.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,228.97 : 9,973.71 = 4,041.81 : x
  2. Step 2: Convert to fraction form
    7,228.97/9,973.71 = 4,041.81/x
  3. Step 3: Cross multiply
    7,228.97x = 9,973.71 × 4,041.81
  4. Step 4: Simplify right side
    7,228.97x = 40,311,840.82
  5. Step 5: Solve for x
    x = 40,311,840.82/7,228.97
  6. Step 6: Final answer
    x = 5,576.43

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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.