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Finding the Fourth Proportional to 6,539.44, 9,021.08 and 3,848.76

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Solution

The fourth proportional to 6,539.44, 9,021.08 and 3,848.76 is: 5,309.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,539.44 : 9,021.08 = 3,848.76 : x
  2. Step 2: Convert to fraction form
    6,539.44/9,021.08 = 3,848.76/x
  3. Step 3: Cross multiply
    6,539.44x = 9,021.08 × 3,848.76
  4. Step 4: Simplify right side
    6,539.44x = 34,719,971.86
  5. Step 5: Solve for x
    x = 34,719,971.86/6,539.44
  6. Step 6: Final answer
    x = 5,309.32

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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.