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Finding the Fourth Proportional to 6,368.42, 8,786.31 and 3,851.30

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Solution

The fourth proportional to 6,368.42, 8,786.31 and 3,851.30 is: 5,313.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,368.42 : 8,786.31 = 3,851.30 : x
  2. Step 2: Convert to fraction form
    6,368.42/8,786.31 = 3,851.30/x
  3. Step 3: Cross multiply
    6,368.42x = 8,786.31 × 3,851.30
  4. Step 4: Simplify right side
    6,368.42x = 33,838,715.70
  5. Step 5: Solve for x
    x = 33,838,715.70/6,368.42
  6. Step 6: Final answer
    x = 5,313.52

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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.