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Finding the Fourth Proportional to 7,153.64, 9,871.62 and 4,169.96

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Solution

The fourth proportional to 7,153.64, 9,871.62 and 4,169.96 is: 5,754.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,153.64 : 9,871.62 = 4,169.96 : x
  2. Step 2: Convert to fraction form
    7,153.64/9,871.62 = 4,169.96/x
  3. Step 3: Cross multiply
    7,153.64x = 9,871.62 × 4,169.96
  4. Step 4: Simplify right side
    7,153.64x = 41,164,260.54
  5. Step 5: Solve for x
    x = 41,164,260.54/7,153.64
  6. Step 6: Final answer
    x = 5,754.31

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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.