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Finding the Fourth Proportional to 6,822.32, 9,421.56 and 6,434.48

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Solution

The fourth proportional to 6,822.32, 9,421.56 and 6,434.48 is: 8,885.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,822.32 : 9,421.56 = 6,434.48 : x
  2. Step 2: Convert to fraction form
    6,822.32/9,421.56 = 6,434.48/x
  3. Step 3: Cross multiply
    6,822.32x = 9,421.56 × 6,434.48
  4. Step 4: Simplify right side
    6,822.32x = 60,622,839.39
  5. Step 5: Solve for x
    x = 60,622,839.39/6,822.32
  6. Step 6: Final answer
    x = 8,885.96

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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.