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Finding the Fourth Proportional to 6,828.48, 9,419.76 and 4,305.84

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Solution

The fourth proportional to 6,828.48, 9,419.76 and 4,305.84 is: 5,939.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,828.48 : 9,419.76 = 4,305.84 : x
  2. Step 2: Convert to fraction form
    6,828.48/9,419.76 = 4,305.84/x
  3. Step 3: Cross multiply
    6,828.48x = 9,419.76 × 4,305.84
  4. Step 4: Simplify right side
    6,828.48x = 40,559,979.40
  5. Step 5: Solve for x
    x = 40,559,979.40/6,828.48
  6. Step 6: Final answer
    x = 5,939.83

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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.