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Finding the Fourth Proportional to 6,539.48, 9,796.86 and 5,061.23

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Solution

The fourth proportional to 6,539.48, 9,796.86 and 5,061.23 is: 7,582.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,539.48 : 9,796.86 = 5,061.23 : x
  2. Step 2: Convert to fraction form
    6,539.48/9,796.86 = 5,061.23/x
  3. Step 3: Cross multiply
    6,539.48x = 9,796.86 × 5,061.23
  4. Step 4: Simplify right side
    6,539.48x = 49,584,161.74
  5. Step 5: Solve for x
    x = 49,584,161.74/6,539.48
  6. Step 6: Final answer
    x = 7,582.28

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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.