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Finding the Fourth Proportional to 6,831.54, 9,427.05 and 4,036.50

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Solution

The fourth proportional to 6,831.54, 9,427.05 and 4,036.50 is: 5,570.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,831.54 : 9,427.05 = 4,036.50 : x
  2. Step 2: Convert to fraction form
    6,831.54/9,427.05 = 4,036.50/x
  3. Step 3: Cross multiply
    6,831.54x = 9,427.05 × 4,036.50
  4. Step 4: Simplify right side
    6,831.54x = 38,052,287.33
  5. Step 5: Solve for x
    x = 38,052,287.33/6,831.54
  6. Step 6: Final answer
    x = 5,570.09

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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.