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Finding the Fourth Proportional to 6,828.96, 9,422.72 and 4,309.32

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Solution

The fourth proportional to 6,828.96, 9,422.72 and 4,309.32 is: 5,946.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,828.96 : 9,422.72 = 4,309.32 : x
  2. Step 2: Convert to fraction form
    6,828.96/9,422.72 = 4,309.32/x
  3. Step 3: Cross multiply
    6,828.96x = 9,422.72 × 4,309.32
  4. Step 4: Simplify right side
    6,828.96x = 40,605,515.75
  5. Step 5: Solve for x
    x = 40,605,515.75/6,828.96
  6. Step 6: Final answer
    x = 5,946.08

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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.