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Finding the Fourth Proportional to 7,052.98, 9,732.64 and 3,866.24

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Solution

The fourth proportional to 7,052.98, 9,732.64 and 3,866.24 is: 5,335.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,052.98 : 9,732.64 = 3,866.24 : x
  2. Step 2: Convert to fraction form
    7,052.98/9,732.64 = 3,866.24/x
  3. Step 3: Cross multiply
    7,052.98x = 9,732.64 × 3,866.24
  4. Step 4: Simplify right side
    7,052.98x = 37,628,722.07
  5. Step 5: Solve for x
    x = 37,628,722.07/7,052.98
  6. Step 6: Final answer
    x = 5,335.15

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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.