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Finding the Fourth Proportional to 7,040.01, 9,714.70 and 3,896.25

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Solution

The fourth proportional to 7,040.01, 9,714.70 and 3,896.25 is: 5,376.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,040.01 : 9,714.70 = 3,896.25 : x
  2. Step 2: Convert to fraction form
    7,040.01/9,714.70 = 3,896.25/x
  3. Step 3: Cross multiply
    7,040.01x = 9,714.70 × 3,896.25
  4. Step 4: Simplify right side
    7,040.01x = 37,850,899.88
  5. Step 5: Solve for x
    x = 37,850,899.88/7,040.01
  6. Step 6: Final answer
    x = 5,376.54

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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.