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Finding the Fourth Proportional to 6,539.82, 9,024.26 and 3,886.88

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Solution

The fourth proportional to 6,539.82, 9,024.26 and 3,886.88 is: 5,363.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,539.82 : 9,024.26 = 3,886.88 : x
  2. Step 2: Convert to fraction form
    6,539.82/9,024.26 = 3,886.88/x
  3. Step 3: Cross multiply
    6,539.82x = 9,024.26 × 3,886.88
  4. Step 4: Simplify right side
    6,539.82x = 35,076,215.71
  5. Step 5: Solve for x
    x = 35,076,215.71/6,539.82
  6. Step 6: Final answer
    x = 5,363.48

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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.