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Finding the Fourth Proportional to 6,828.56, 9,421.22 and 4,140.86

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Solution

The fourth proportional to 6,828.56, 9,421.22 and 4,140.86 is: 5,713.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,828.56 : 9,421.22 = 4,140.86 : x
  2. Step 2: Convert to fraction form
    6,828.56/9,421.22 = 4,140.86/x
  3. Step 3: Cross multiply
    6,828.56x = 9,421.22 × 4,140.86
  4. Step 4: Simplify right side
    6,828.56x = 39,011,942.70
  5. Step 5: Solve for x
    x = 39,011,942.70/6,828.56
  6. Step 6: Final answer
    x = 5,713.05

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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.