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Finding the Fourth Proportional to 6,539.26, 9,809.58 and 2,156.74

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Solution

The fourth proportional to 6,539.26, 9,809.58 and 2,156.74 is: 3,235.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,539.26 : 9,809.58 = 2,156.74 : x
  2. Step 2: Convert to fraction form
    6,539.26/9,809.58 = 2,156.74/x
  3. Step 3: Cross multiply
    6,539.26x = 9,809.58 × 2,156.74
  4. Step 4: Simplify right side
    6,539.26x = 21,156,713.57
  5. Step 5: Solve for x
    x = 21,156,713.57/6,539.26
  6. Step 6: Final answer
    x = 3,235.34

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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.