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Finding the Fourth Proportional to 9,809.82, 13,539.69 and 5,831.64

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Solution

The fourth proportional to 9,809.82, 13,539.69 and 5,831.64 is: 8,048.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,809.82 : 13,539.69 = 5,831.64 : x
  2. Step 2: Convert to fraction form
    9,809.82/13,539.69 = 5,831.64/x
  3. Step 3: Cross multiply
    9,809.82x = 13,539.69 × 5,831.64
  4. Step 4: Simplify right side
    9,809.82x = 78,958,597.79
  5. Step 5: Solve for x
    x = 78,958,597.79/9,809.82
  6. Step 6: Final answer
    x = 8,048.93

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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.