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Finding the Fourth Proportional to 6,539.88, 9,026.46 and 3,887.76

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Solution

The fourth proportional to 6,539.88, 9,026.46 and 3,887.76 is: 5,365.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,539.88 : 9,026.46 = 3,887.76 : x
  2. Step 2: Convert to fraction form
    6,539.88/9,026.46 = 3,887.76/x
  3. Step 3: Cross multiply
    6,539.88x = 9,026.46 × 3,887.76
  4. Step 4: Simplify right side
    6,539.88x = 35,092,710.13
  5. Step 5: Solve for x
    x = 35,092,710.13/6,539.88
  6. Step 6: Final answer
    x = 5,365.96

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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.