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Finding the Fourth Proportional to 6,831.01, 9,431.85 and 4,182.04

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Solution

The fourth proportional to 6,831.01, 9,431.85 and 4,182.04 is: 5,774.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,831.01 : 9,431.85 = 4,182.04 : x
  2. Step 2: Convert to fraction form
    6,831.01/9,431.85 = 4,182.04/x
  3. Step 3: Cross multiply
    6,831.01x = 9,431.85 × 4,182.04
  4. Step 4: Simplify right side
    6,831.01x = 39,444,373.97
  5. Step 5: Solve for x
    x = 39,444,373.97/6,831.01
  6. Step 6: Final answer
    x = 5,774.31

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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.