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Finding the Fourth Proportional to 6,295.40, 9,424.86 and 5,628.36

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Solution

The fourth proportional to 6,295.40, 9,424.86 and 5,628.36 is: 8,426.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,295.40 : 9,424.86 = 5,628.36 : x
  2. Step 2: Convert to fraction form
    6,295.40/9,424.86 = 5,628.36/x
  3. Step 3: Cross multiply
    6,295.40x = 9,424.86 × 5,628.36
  4. Step 4: Simplify right side
    6,295.40x = 53,046,505.03
  5. Step 5: Solve for x
    x = 53,046,505.03/6,295.40
  6. Step 6: Final answer
    x = 8,426.23

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.