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Finding the Fourth Proportional to 6,558.36, 9,840.27 and 3,638.71

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Solution

The fourth proportional to 6,558.36, 9,840.27 and 3,638.71 is: 5,459.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,558.36 : 9,840.27 = 3,638.71 : x
  2. Step 2: Convert to fraction form
    6,558.36/9,840.27 = 3,638.71/x
  3. Step 3: Cross multiply
    6,558.36x = 9,840.27 × 3,638.71
  4. Step 4: Simplify right side
    6,558.36x = 35,805,888.85
  5. Step 5: Solve for x
    x = 35,805,888.85/6,558.36
  6. Step 6: Final answer
    x = 5,459.58

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.